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Simplifying 5(3x + 6)(3x + 6) = 0 Reorder the terms: 5(6 + 3x)(3x + 6) = 0 Reorder the terms: 5(6 + 3x)(6 + 3x) = 0 Multiply (6 + 3x) * (6 + 3x) 5(6(6 + 3x) + 3x * (6 + 3x)) = 0 5((6 * 6 + 3x * 6) + 3x * (6 + 3x)) = 0 5((36 + 18x) + 3x * (6 + 3x)) = 0 5(36 + 18x + (6 * 3x + 3x * 3x)) = 0 5(36 + 18x + (18x + 9x2)) = 0 Combine like terms: 18x + 18x = 36x 5(36 + 36x + 9x2) = 0 (36 * 5 + 36x * 5 + 9x2 * 5) = 0 (180 + 180x + 45x2) = 0 Solving 180 + 180x + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '45'. 45(4 + 4x + x2) = 0 Factor a trinomial. 45((2 + x)(2 + x)) = 0 Ignore the factor 45.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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