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Simplifying (x + -3)(3x + 6) = 0 Reorder the terms: (-3 + x)(3x + 6) = 0 Reorder the terms: (-3 + x)(6 + 3x) = 0 Multiply (-3 + x) * (6 + 3x) (-3(6 + 3x) + x(6 + 3x)) = 0 ((6 * -3 + 3x * -3) + x(6 + 3x)) = 0 ((-18 + -9x) + x(6 + 3x)) = 0 (-18 + -9x + (6 * x + 3x * x)) = 0 (-18 + -9x + (6x + 3x2)) = 0 Combine like terms: -9x + 6x = -3x (-18 + -3x + 3x2) = 0 Solving -18 + -3x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + -1x + x2) = 0 Factor a trinomial. 3((-2 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-2, 3}
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