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Simplifying (6x + -6)(2x + -2) = 0 Reorder the terms: (-6 + 6x)(2x + -2) = 0 Reorder the terms: (-6 + 6x)(-2 + 2x) = 0 Multiply (-6 + 6x) * (-2 + 2x) (-6(-2 + 2x) + 6x * (-2 + 2x)) = 0 ((-2 * -6 + 2x * -6) + 6x * (-2 + 2x)) = 0 ((12 + -12x) + 6x * (-2 + 2x)) = 0 (12 + -12x + (-2 * 6x + 2x * 6x)) = 0 (12 + -12x + (-12x + 12x2)) = 0 Combine like terms: -12x + -12x = -24x (12 + -24x + 12x2) = 0 Solving 12 + -24x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(1 + -2x + x2) = 0 Factor a trinomial. 12((1 + -1x)(1 + -1x)) = 0 Ignore the factor 12.Subproblem 1
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 = 1Subproblem 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 = {1, 1}
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