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Simplifying (3x + -6)(2x + -2) = 0 Reorder the terms: (-6 + 3x)(2x + -2) = 0 Reorder the terms: (-6 + 3x)(-2 + 2x) = 0 Multiply (-6 + 3x) * (-2 + 2x) (-6(-2 + 2x) + 3x * (-2 + 2x)) = 0 ((-2 * -6 + 2x * -6) + 3x * (-2 + 2x)) = 0 ((12 + -12x) + 3x * (-2 + 2x)) = 0 (12 + -12x + (-2 * 3x + 2x * 3x)) = 0 (12 + -12x + (-6x + 6x2)) = 0 Combine like terms: -12x + -6x = -18x (12 + -18x + 6x2) = 0 Solving 12 + -18x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(2 + -3x + x2) = 0 Factor a trinomial. 6((1 + -1x)(2 + -1x)) = 0 Ignore the factor 6.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {1, 2}
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