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Simplifying (3x + 9)(2x + 6) = 0 Reorder the terms: (9 + 3x)(2x + 6) = 0 Reorder the terms: (9 + 3x)(6 + 2x) = 0 Multiply (9 + 3x) * (6 + 2x) (9(6 + 2x) + 3x * (6 + 2x)) = 0 ((6 * 9 + 2x * 9) + 3x * (6 + 2x)) = 0 ((54 + 18x) + 3x * (6 + 2x)) = 0 (54 + 18x + (6 * 3x + 2x * 3x)) = 0 (54 + 18x + (18x + 6x2)) = 0 Combine like terms: 18x + 18x = 36x (54 + 36x + 6x2) = 0 Solving 54 + 36x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(9 + 6x + x2) = 0 Factor a trinomial. 6((3 + x)(3 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-3, -3}
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