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Simplifying (6x + -18)(3x + 3) = 0 Reorder the terms: (-18 + 6x)(3x + 3) = 0 Reorder the terms: (-18 + 6x)(3 + 3x) = 0 Multiply (-18 + 6x) * (3 + 3x) (-18(3 + 3x) + 6x * (3 + 3x)) = 0 ((3 * -18 + 3x * -18) + 6x * (3 + 3x)) = 0 ((-54 + -54x) + 6x * (3 + 3x)) = 0 (-54 + -54x + (3 * 6x + 3x * 6x)) = 0 (-54 + -54x + (18x + 18x2)) = 0 Combine like terms: -54x + 18x = -36x (-54 + -36x + 18x2) = 0 Solving -54 + -36x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18'. 18(-3 + -2x + x2) = 0 Factor a trinomial. 18((-1 + -1x)(3 + -1x)) = 0 Ignore the factor 18.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 '(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 = {-1, 3}
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