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Simplifying (6 + -1x)(x + -1)(x * 2 + -2x + 2) = 0 Reorder the terms: (6 + -1x)(-1 + x)(x * 2 + -2x + 2) = 0 Reorder the terms for easier multiplication: (6 + -1x)(-1 + x)(2x + -2x + 2) = 0 Reorder the terms: (6 + -1x)(-1 + x)(2 + 2x + -2x) = 0 Combine like terms: 2x + -2x = 0 (6 + -1x)(-1 + x)(2 + 0) = 0 (6 + -1x)(-1 + x)(2) = 0 Reorder the terms for easier multiplication: 2(6 + -1x)(-1 + x) = 0 Multiply (6 + -1x) * (-1 + x) 2(6(-1 + x) + -1x * (-1 + x)) = 0 2((-1 * 6 + x * 6) + -1x * (-1 + x)) = 0 2((-6 + 6x) + -1x * (-1 + x)) = 0 2(-6 + 6x + (-1 * -1x + x * -1x)) = 0 2(-6 + 6x + (1x + -1x2)) = 0 Combine like terms: 6x + 1x = 7x 2(-6 + 7x + -1x2) = 0 (-6 * 2 + 7x * 2 + -1x2 * 2) = 0 (-12 + 14x + -2x2) = 0 Solving -12 + 14x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 7x + -1x2) = 0 Factor a trinomial. 2((-6 + x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {6, 1}
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