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Simplifying (4x + 3)(4x + 3) = 9 Reorder the terms: (3 + 4x)(4x + 3) = 9 Reorder the terms: (3 + 4x)(3 + 4x) = 9 Multiply (3 + 4x) * (3 + 4x) (3(3 + 4x) + 4x * (3 + 4x)) = 9 ((3 * 3 + 4x * 3) + 4x * (3 + 4x)) = 9 ((9 + 12x) + 4x * (3 + 4x)) = 9 (9 + 12x + (3 * 4x + 4x * 4x)) = 9 (9 + 12x + (12x + 16x2)) = 9 Combine like terms: 12x + 12x = 24x (9 + 24x + 16x2) = 9 Add '-9' to each side of the equation. 9 + 24x + -9 + 16x2 = 9 + -9 Reorder the terms: 9 + -9 + 24x + 16x2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + 24x + 16x2 = 9 + -9 24x + 16x2 = 9 + -9 Combine like terms: 9 + -9 = 0 24x + 16x2 = 0 Solving 24x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(3 + 2x) = 0 Ignore the factor 8.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 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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