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Simplifying (X + -1)(x + 6)(x + -2) + -60 = 0 Reorder the terms: (-1 + X)(x + 6)(x + -2) + -60 = 0 Reorder the terms: (-1 + X)(6 + x)(x + -2) + -60 = 0 Reorder the terms: (-1 + X)(6 + x)(-2 + x) + -60 = 0 Multiply (-1 + X) * (6 + x) (-1(6 + x) + X(6 + x))(-2 + x) + -60 = 0 ((6 * -1 + x * -1) + X(6 + x))(-2 + x) + -60 = 0 ((-6 + -1x) + X(6 + x))(-2 + x) + -60 = 0 (-6 + -1x + (6 * X + x * X))(-2 + x) + -60 = 0 (-6 + -1x + (6X + xX))(-2 + x) + -60 = 0 Reorder the terms: (-6 + 6X + -1x + xX)(-2 + x) + -60 = 0 (-6 + 6X + -1x + xX)(-2 + x) + -60 = 0 Multiply (-6 + 6X + -1x + xX) * (-2 + x) (-6(-2 + x) + 6X * (-2 + x) + -1x * (-2 + x) + xX(-2 + x)) + -60 = 0 ((-2 * -6 + x * -6) + 6X * (-2 + x) + -1x * (-2 + x) + xX(-2 + x)) + -60 = 0 ((12 + -6x) + 6X * (-2 + x) + -1x * (-2 + x) + xX(-2 + x)) + -60 = 0 (12 + -6x + (-2 * 6X + x * 6X) + -1x * (-2 + x) + xX(-2 + x)) + -60 = 0 (12 + -6x + (-12X + 6xX) + -1x * (-2 + x) + xX(-2 + x)) + -60 = 0 (12 + -6x + -12X + 6xX + (-2 * -1x + x * -1x) + xX(-2 + x)) + -60 = 0 (12 + -6x + -12X + 6xX + (2x + -1x2) + xX(-2 + x)) + -60 = 0 (12 + -6x + -12X + 6xX + 2x + -1x2 + (-2 * xX + x * xX)) + -60 = 0 (12 + -6x + -12X + 6xX + 2x + -1x2 + (-2xX + x2X)) + -60 = 0 Reorder the terms: (12 + -12X + -6x + 2x + 6xX + -2xX + -1x2 + x2X) + -60 = 0 Combine like terms: -6x + 2x = -4x (12 + -12X + -4x + 6xX + -2xX + -1x2 + x2X) + -60 = 0 Combine like terms: 6xX + -2xX = 4xX (12 + -12X + -4x + 4xX + -1x2 + x2X) + -60 = 0 Reorder the terms: 12 + -60 + -12X + -4x + 4xX + -1x2 + x2X = 0 Combine like terms: 12 + -60 = -48 -48 + -12X + -4x + 4xX + -1x2 + x2X = 0 Solving -48 + -12X + -4x + 4xX + -1x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '48' to each side of the equation. -48 + -12X + -4x + 4xX + -1x2 + 48 + x2X = 0 + 48 Reorder the terms: -48 + 48 + -12X + -4x + 4xX + -1x2 + x2X = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -12X + -4x + 4xX + -1x2 + x2X = 0 + 48 -12X + -4x + 4xX + -1x2 + x2X = 0 + 48 Combine like terms: 0 + 48 = 48 -12X + -4x + 4xX + -1x2 + x2X = 48 Add '4x' to each side of the equation. -12X + -4x + 4xX + -1x2 + 4x + x2X = 48 + 4x Reorder the terms: -12X + -4x + 4x + 4xX + -1x2 + x2X = 48 + 4x Combine like terms: -4x + 4x = 0 -12X + 0 + 4xX + -1x2 + x2X = 48 + 4x -12X + 4xX + -1x2 + x2X = 48 + 4x Add 'x2' to each side of the equation. -12X + 4xX + -1x2 + x2 + x2X = 48 + 4x + x2 Combine like terms: -1x2 + x2 = 0 -12X + 4xX + 0 + x2X = 48 + 4x + x2 -12X + 4xX + x2X = 48 + 4x + x2 Reorder the terms: -48 + -12X + -4x + 4xX + -1x2 + x2X = 48 + 4x + x2 + -48 + -4x + -1x2 Reorder the terms: -48 + -12X + -4x + 4xX + -1x2 + x2X = 48 + -48 + 4x + -4x + x2 + -1x2 Combine like terms: 48 + -48 = 0 -48 + -12X + -4x + 4xX + -1x2 + x2X = 0 + 4x + -4x + x2 + -1x2 -48 + -12X + -4x + 4xX + -1x2 + x2X = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -48 + -12X + -4x + 4xX + -1x2 + x2X = 0 + x2 + -1x2 -48 + -12X + -4x + 4xX + -1x2 + x2X = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -48 + -12X + -4x + 4xX + -1x2 + x2X = 0 The solution to this equation could not be determined.
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