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Simplifying (2x + 3)(2x + 3) + -9 = 0 Reorder the terms: (3 + 2x)(2x + 3) + -9 = 0 Reorder the terms: (3 + 2x)(3 + 2x) + -9 = 0 Multiply (3 + 2x) * (3 + 2x) (3(3 + 2x) + 2x * (3 + 2x)) + -9 = 0 ((3 * 3 + 2x * 3) + 2x * (3 + 2x)) + -9 = 0 ((9 + 6x) + 2x * (3 + 2x)) + -9 = 0 (9 + 6x + (3 * 2x + 2x * 2x)) + -9 = 0 (9 + 6x + (6x + 4x2)) + -9 = 0 Combine like terms: 6x + 6x = 12x (9 + 12x + 4x2) + -9 = 0 Reorder the terms: 9 + -9 + 12x + 4x2 = 0 Combine like terms: 9 + -9 = 0 0 + 12x + 4x2 = 0 12x + 4x2 = 0 Solving 12x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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