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Simplifying (9x + 9)(3x + 3) = 0 Reorder the terms: (9 + 9x)(3x + 3) = 0 Reorder the terms: (9 + 9x)(3 + 3x) = 0 Multiply (9 + 9x) * (3 + 3x) (9(3 + 3x) + 9x * (3 + 3x)) = 0 ((3 * 9 + 3x * 9) + 9x * (3 + 3x)) = 0 ((27 + 27x) + 9x * (3 + 3x)) = 0 (27 + 27x + (3 * 9x + 3x * 9x)) = 0 (27 + 27x + (27x + 27x2)) = 0 Combine like terms: 27x + 27x = 54x (27 + 54x + 27x2) = 0 Solving 27 + 54x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '27'. 27(1 + 2x + x2) = 0 Factor a trinomial. 27((1 + x)(1 + x)) = 0 Ignore the factor 27.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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