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Simplifying (3x + -3)(2x + -2) = 0 Reorder the terms: (-3 + 3x)(2x + -2) = 0 Reorder the terms: (-3 + 3x)(-2 + 2x) = 0 Multiply (-3 + 3x) * (-2 + 2x) (-3(-2 + 2x) + 3x * (-2 + 2x)) = 0 ((-2 * -3 + 2x * -3) + 3x * (-2 + 2x)) = 0 ((6 + -6x) + 3x * (-2 + 2x)) = 0 (6 + -6x + (-2 * 3x + 2x * 3x)) = 0 (6 + -6x + (-6x + 6x2)) = 0 Combine like terms: -6x + -6x = -12x (6 + -12x + 6x2) = 0 Solving 6 + -12x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(1 + -2x + x2) = 0 Factor a trinomial. 6((1 + -1x)(1 + -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 '(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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