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Simplifying (3x + -6)(x + -2) = 0 Reorder the terms: (-6 + 3x)(x + -2) = 0 Reorder the terms: (-6 + 3x)(-2 + x) = 0 Multiply (-6 + 3x) * (-2 + x) (-6(-2 + x) + 3x * (-2 + x)) = 0 ((-2 * -6 + x * -6) + 3x * (-2 + x)) = 0 ((12 + -6x) + 3x * (-2 + x)) = 0 (12 + -6x + (-2 * 3x + x * 3x)) = 0 (12 + -6x + (-6x + 3x2)) = 0 Combine like terms: -6x + -6x = -12x (12 + -12x + 3x2) = 0 Solving 12 + -12x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + -4x + x2) = 0 Factor a trinomial. 3((2 + -1x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = 2Subproblem 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 = {2, 2}
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