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Simplifying (6x + -18)(3x + 12) = 0 Reorder the terms: (-18 + 6x)(3x + 12) = 0 Reorder the terms: (-18 + 6x)(12 + 3x) = 0 Multiply (-18 + 6x) * (12 + 3x) (-18(12 + 3x) + 6x * (12 + 3x)) = 0 ((12 * -18 + 3x * -18) + 6x * (12 + 3x)) = 0 ((-216 + -54x) + 6x * (12 + 3x)) = 0 (-216 + -54x + (12 * 6x + 3x * 6x)) = 0 (-216 + -54x + (72x + 18x2)) = 0 Combine like terms: -54x + 72x = 18x (-216 + 18x + 18x2) = 0 Solving -216 + 18x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18'. 18(-12 + x + x2) = 0 Factor a trinomial. 18((-4 + -1x)(3 + -1x)) = 0 Ignore the factor 18.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 3}
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