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Simplifying 27(x + 2)(x + 2) = 0 Reorder the terms: 27(2 + x)(x + 2) = 0 Reorder the terms: 27(2 + x)(2 + x) = 0 Multiply (2 + x) * (2 + x) 27(2(2 + x) + x(2 + x)) = 0 27((2 * 2 + x * 2) + x(2 + x)) = 0 27((4 + 2x) + x(2 + x)) = 0 27(4 + 2x + (2 * x + x * x)) = 0 27(4 + 2x + (2x + x2)) = 0 Combine like terms: 2x + 2x = 4x 27(4 + 4x + x2) = 0 (4 * 27 + 4x * 27 + x2 * 27) = 0 (108 + 108x + 27x2) = 0 Solving 108 + 108x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '27'. 27(4 + 4x + x2) = 0 Factor a trinomial. 27((2 + x)(2 + x)) = 0 Ignore the factor 27.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 '(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 = {-2, -2}
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