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Simplifying (9x + -9)(2x + 6) = 0 Reorder the terms: (-9 + 9x)(2x + 6) = 0 Reorder the terms: (-9 + 9x)(6 + 2x) = 0 Multiply (-9 + 9x) * (6 + 2x) (-9(6 + 2x) + 9x * (6 + 2x)) = 0 ((6 * -9 + 2x * -9) + 9x * (6 + 2x)) = 0 ((-54 + -18x) + 9x * (6 + 2x)) = 0 (-54 + -18x + (6 * 9x + 2x * 9x)) = 0 (-54 + -18x + (54x + 18x2)) = 0 Combine like terms: -18x + 54x = 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((-3 + -1x)(1 + -1x)) = 0 Ignore the factor 18.Subproblem 1
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 = -3Subproblem 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 = {-3, 1}
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