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## Solution for (X-1)(x-3)(x-5)(x-7)+15=0 equation:

Simplifying(X + -1)(x + -3)(x + -5)(x + -7) + 15 = 0Reorder the terms:(-1 + X)(x + -3)(x + -5)(x + -7) + 15 = 0Reorder the terms:(-1 + X)(-3 + x)(x + -5)(x + -7) + 15 = 0Reorder the terms:(-1 + X)(-3 + x)(-5 + x)(x + -7) + 15 = 0Reorder the terms:(-1 + X)(-3 + x)(-5 + x)(-7 + x) + 15 = 0Multiply (-1 + X) * (-3 + x)(-1(-3 + x) + X(-3 + x))(-5 + x)(-7 + x) + 15 = 0((-3 * -1 + x * -1) + X(-3 + x))(-5 + x)(-7 + x) + 15 = 0((3 + -1x) + X(-3 + x))(-5 + x)(-7 + x) + 15 = 0(3 + -1x + (-3 * X + x * X))(-5 + x)(-7 + x) + 15 = 0(3 + -1x + (-3X + xX))(-5 + x)(-7 + x) + 15 = 0Reorder the terms:(3 + -3X + -1x + xX)(-5 + x)(-7 + x) + 15 = 0(3 + -3X + -1x + xX)(-5 + x)(-7 + x) + 15 = 0Multiply (3 + -3X + -1x + xX) * (-5 + x)(3(-5 + x) + -3X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0((-5 * 3 + x * 3) + -3X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0((-15 + 3x) + -3X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0(-15 + 3x + (-5 * -3X + x * -3X) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0(-15 + 3x + (15X + -3xX) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0(-15 + 3x + 15X + -3xX + (-5 * -1x + x * -1x) + xX(-5 + x))(-7 + x) + 15 = 0(-15 + 3x + 15X + -3xX + (5x + -1x2) + xX(-5 + x))(-7 + x) + 15 = 0(-15 + 3x + 15X + -3xX + 5x + -1x2 + (-5 * xX + x * xX))(-7 + x) + 15 = 0(-15 + 3x + 15X + -3xX + 5x + -1x2 + (-5xX + x2X))(-7 + x) + 15 = 0Reorder the terms:(-15 + 15X + 3x + 5x + -3xX + -5xX + -1x2 + x2X)(-7 + x) + 15 = 0Combine like terms: 3x + 5x = 8x(-15 + 15X + 8x + -3xX + -5xX + -1x2 + x2X)(-7 + x) + 15 = 0Combine lượt thích terms: -3xX + -5xX = -8xX(-15 + 15X + 8x + -8xX + -1x2 + x2X)(-7 + x) + 15 = 0Multiply (-15 + 15X + 8x + -8xX + -1x2 + x2X) * (-7 + x)(-15(-7 + x) + 15X * (-7 + x) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0((-7 * -15 + x * -15) + 15X * (-7 + x) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0((105 + -15x) + 15X * (-7 + x) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0(105 + -15x + (-7 * 15X + x * 15X) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0(105 + -15x + (-105X + 15xX) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0(105 + -15x + -105X + 15xX + (-7 * 8x + x * 8x) + -8xX * (-7 + x) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0(105 + -15x + -105X + 15xX + (-56x + 8x2) + -8xX * (-7 + x) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0(105 + -15x + -105X + 15xX + -56x + 8x2 + (-7 * -8xX + x * -8xX) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0(105 + -15x + -105X + 15xX + -56x + 8x2 + (56xX + -8x2X) + -1x2 * (-7 + x) + x2X(-7 + x)) + 15 = 0(105 + -15x + -105X + 15xX + -56x + 8x2 + 56xX + -8x2X + (-7 * -1x2 + x * -1x2) + x2X(-7 + x)) + 15 = 0(105 + -15x + -105X + 15xX + -56x + 8x2 + 56xX + -8x2X + (7x2 + -1x3) + x2X(-7 + x)) + 15 = 0(105 + -15x + -105X + 15xX + -56x + 8x2 + 56xX + -8x2X + 7x2 + -1x3 + (-7 * x2X + x * x2X)) + 15 = 0(105 + -15x + -105X + 15xX + -56x + 8x2 + 56xX + -8x2X + 7x2 + -1x3 + (-7x2X + x3X)) + 15 = 0Reorder the terms:(105 + -105X + -15x + -56x + 15xX + 56xX + 8x2 + 7x2 + -8x2X + -7x2X + -1x3 + x3X) + 15 = 0Combine lượt thích terms: -15x + -56x = -71x(105 + -105X + -71x + 15xX + 56xX + 8x2 + 7x2 + -8x2X + -7x2X + -1x3 + x3X) + 15 = 0Combine lượt thích terms: 15xX + 56xX = 71xX(105 + -105X + -71x + 71xX + 8x2 + 7x2 + -8x2X + -7x2X + -1x3 + x3X) + 15 = 0Combine lượt thích terms: 8x2 + 7x2 = 15x2(105 + -105X + -71x + 71xX + 15x2 + -8x2X + -7x2X + -1x3 + x3X) + 15 = 0Combine lượt thích terms: -8x2X + -7x2X = -15x2X(105 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X) + 15 = 0Reorder the terms:105 + 15 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0Combine like terms: 105 + 15 = 120120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0Solving120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0Solving for variable "X".Move all terms containing X to lớn the left, all other terms lớn the right.Add "-120" khổng lồ each side of the equation.120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + -120 + x3X = 0 + -120Reorder the terms:120 + -120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0 + -120Combine lượt thích terms: 120 + -120 = 00 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0 + -120-105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0 + -120Combine lượt thích terms: 0 + -120 = -120-105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = -120Add "71x" khổng lồ each side of the equation.-105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + 71x + x3X = -120 + 71xReorder the terms:-105X + -71x + 71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = -120 + 71xCombine like terms: -71x + 71x = 0-105X + 0 + 71xX + 15x2 + -15x2X + -1x3 + x3X = -120 + 71x-105X + 71xX + 15x2 + -15x2X + -1x3 + x3X = -120 + 71xAdd "-15x2" lớn each side of the equation.-105X + 71xX + 15x2 + -15x2X + -1x3 + -15x2 + x3X = -120 + 71x + -15x2Reorder the terms:-105X + 71xX + 15x2 + -15x2 + -15x2X + -1x3 + x3X = -120 + 71x + -15x2Combine like terms: 15x2 + -15x2 = 0-105X + 71xX + 0 + -15x2X + -1x3 + x3X = -120 + 71x + -15x2-105X + 71xX + -15x2X + -1x3 + x3X = -120 + 71x + -15x2Add "x3" lớn each side of the equation.-105X + 71xX + -15x2X + -1x3 + x3 + x3X = -120 + 71x + -15x2 + x3Combine lượt thích terms: -1x3 + x3 = 0-105X + 71xX + -15x2X + 0 + x3X = -120 + 71x + -15x2 + x3-105X + 71xX + -15x2X + x3X = -120 + 71x + -15x2 + x3Reorder the terms:120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = -120 + 71x + -15x2 + x3 + 120 + -71x + 15x2 + -1x3Reorder the terms:120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = -120 + 120 + 71x + -71x + -15x2 + 15x2 + x3 + -1x3Combine like terms: -120 + 120 = 0120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0 + 71x + -71x + -15x2 + 15x2 + x3 + -1x3120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 71x + -71x + -15x2 + 15x2 + x3 + -1x3Combine like terms: 71x + -71x = 0120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0 + -15x2 + 15x2 + x3 + -1x3120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = -15x2 + 15x2 + x3 + -1x3Combine lượt thích terms: -15x2 + 15x2 = 0120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0 + x3 + -1x3120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = x3 + -1x3Combine lượt thích terms: x3 + -1x3 = 0120 + -105X + -71x + 71xX + 15x2 + -15x2X + -1x3 + x3X = 0The solution to this equation could not be determined.