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Simplifying (9x + 9)(x + 2) = 0 Reorder the terms: (9 + 9x)(x + 2) = 0 Reorder the terms: (9 + 9x)(2 + x) = 0 Multiply (9 + 9x) * (2 + x) (9(2 + x) + 9x * (2 + x)) = 0 ((2 * 9 + x * 9) + 9x * (2 + x)) = 0 ((18 + 9x) + 9x * (2 + x)) = 0 (18 + 9x + (2 * 9x + x * 9x)) = 0 (18 + 9x + (18x + 9x2)) = 0 Combine like terms: 9x + 18x = 27x (18 + 27x + 9x2) = 0 Solving 18 + 27x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(2 + 3x + x2) = 0 Factor a trinomial. 9((2 + x)(1 + x)) = 0 Ignore the factor 9.Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-2, -1}
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