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Simplifying (3x + 9)(x + 2) = 0 Reorder the terms: (9 + 3x)(x + 2) = 0 Reorder the terms: (9 + 3x)(2 + x) = 0 Multiply (9 + 3x) * (2 + x) (9(2 + x) + 3x * (2 + x)) = 0 ((2 * 9 + x * 9) + 3x * (2 + x)) = 0 ((18 + 9x) + 3x * (2 + x)) = 0 (18 + 9x + (2 * 3x + x * 3x)) = 0 (18 + 9x + (6x + 3x2)) = 0 Combine like terms: 9x + 6x = 15x (18 + 15x + 3x2) = 0 Solving 18 + 15x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + 5x + x2) = 0 Factor a trinomial. 3((3 + x)(2 + x)) = 0 Ignore the factor 3.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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-3, -2}
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