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Simplifying 2(x + 2)(x + 9) = 0 Reorder the terms: 2(2 + x)(x + 9) = 0 Reorder the terms: 2(2 + x)(9 + x) = 0 Multiply (2 + x) * (9 + x) 2(2(9 + x) + x(9 + x)) = 0 2((9 * 2 + x * 2) + x(9 + x)) = 0 2((18 + 2x) + x(9 + x)) = 0 2(18 + 2x + (9 * x + x * x)) = 0 2(18 + 2x + (9x + x2)) = 0 Combine like terms: 2x + 9x = 11x 2(18 + 11x + x2) = 0 (18 * 2 + 11x * 2 + x2 * 2) = 0 (36 + 22x + 2x2) = 0 Solving 36 + 22x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 11x + x2) = 0 Factor a trinomial. 2((9 + x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 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 = {-9, -2}
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