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Simplifying (X + 6)(x + -2)(x + -1) + -60 = 0 Reorder the terms: (6 + X)(x + -2)(x + -1) + -60 = 0 Reorder the terms: (6 + X)(-2 + x)(x + -1) + -60 = 0 Reorder the terms: (6 + X)(-2 + x)(-1 + x) + -60 = 0 Multiply (6 + X) * (-2 + x) (6(-2 + x) + X(-2 + x))(-1 + x) + -60 = 0 ((-2 * 6 + x * 6) + X(-2 + x))(-1 + x) + -60 = 0 ((-12 + 6x) + X(-2 + x))(-1 + x) + -60 = 0 (-12 + 6x + (-2 * X + x * X))(-1 + x) + -60 = 0 (-12 + 6x + (-2X + xX))(-1 + x) + -60 = 0 Reorder the terms: (-12 + -2X + 6x + xX)(-1 + x) + -60 = 0 (-12 + -2X + 6x + xX)(-1 + x) + -60 = 0 Multiply (-12 + -2X + 6x + xX) * (-1 + x) (-12(-1 + x) + -2X * (-1 + x) + 6x * (-1 + x) + xX(-1 + x)) + -60 = 0 ((-1 * -12 + x * -12) + -2X * (-1 + x) + 6x * (-1 + x) + xX(-1 + x)) + -60 = 0 ((12 + -12x) + -2X * (-1 + x) + 6x * (-1 + x) + xX(-1 + x)) + -60 = 0 (12 + -12x + (-1 * -2X + x * -2X) + 6x * (-1 + x) + xX(-1 + x)) + -60 = 0 (12 + -12x + (2X + -2xX) + 6x * (-1 + x) + xX(-1 + x)) + -60 = 0 (12 + -12x + 2X + -2xX + (-1 * 6x + x * 6x) + xX(-1 + x)) + -60 = 0 (12 + -12x + 2X + -2xX + (-6x + 6x2) + xX(-1 + x)) + -60 = 0 (12 + -12x + 2X + -2xX + -6x + 6x2 + (-1 * xX + x * xX)) + -60 = 0 (12 + -12x + 2X + -2xX + -6x + 6x2 + (-1xX + x2X)) + -60 = 0 Reorder the terms: (12 + 2X + -12x + -6x + -2xX + -1xX + 6x2 + x2X) + -60 = 0 Combine like terms: -12x + -6x = -18x (12 + 2X + -18x + -2xX + -1xX + 6x2 + x2X) + -60 = 0 Combine like terms: -2xX + -1xX = -3xX (12 + 2X + -18x + -3xX + 6x2 + x2X) + -60 = 0 Reorder the terms: 12 + -60 + 2X + -18x + -3xX + 6x2 + x2X = 0 Combine like terms: 12 + -60 = -48 -48 + 2X + -18x + -3xX + 6x2 + x2X = 0 Solving -48 + 2X + -18x + -3xX + 6x2 + 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 + 2X + -18x + -3xX + 6x2 + 48 + x2X = 0 + 48 Reorder the terms: -48 + 48 + 2X + -18x + -3xX + 6x2 + x2X = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 2X + -18x + -3xX + 6x2 + x2X = 0 + 48 2X + -18x + -3xX + 6x2 + x2X = 0 + 48 Combine like terms: 0 + 48 = 48 2X + -18x + -3xX + 6x2 + x2X = 48 Add '18x' to each side of the equation. 2X + -18x + -3xX + 6x2 + 18x + x2X = 48 + 18x Reorder the terms: 2X + -18x + 18x + -3xX + 6x2 + x2X = 48 + 18x Combine like terms: -18x + 18x = 0 2X + 0 + -3xX + 6x2 + x2X = 48 + 18x 2X + -3xX + 6x2 + x2X = 48 + 18x Add '-6x2' to each side of the equation. 2X + -3xX + 6x2 + -6x2 + x2X = 48 + 18x + -6x2 Combine like terms: 6x2 + -6x2 = 0 2X + -3xX + 0 + x2X = 48 + 18x + -6x2 2X + -3xX + x2X = 48 + 18x + -6x2 Reorder the terms: -48 + 2X + -18x + -3xX + 6x2 + x2X = 48 + 18x + -6x2 + -48 + -18x + 6x2 Reorder the terms: -48 + 2X + -18x + -3xX + 6x2 + x2X = 48 + -48 + 18x + -18x + -6x2 + 6x2 Combine like terms: 48 + -48 = 0 -48 + 2X + -18x + -3xX + 6x2 + x2X = 0 + 18x + -18x + -6x2 + 6x2 -48 + 2X + -18x + -3xX + 6x2 + x2X = 18x + -18x + -6x2 + 6x2 Combine like terms: 18x + -18x = 0 -48 + 2X + -18x + -3xX + 6x2 + x2X = 0 + -6x2 + 6x2 -48 + 2X + -18x + -3xX + 6x2 + x2X = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -48 + 2X + -18x + -3xX + 6x2 + x2X = 0 The solution to this equation could not be determined.
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