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Simplifying -1(2x + 3)(2x + 3) = 0 Reorder the terms: -1(3 + 2x)(2x + 3) = 0 Reorder the terms: -1(3 + 2x)(3 + 2x) = 0 Multiply (3 + 2x) * (3 + 2x) -1(3(3 + 2x) + 2x * (3 + 2x)) = 0 -1((3 * 3 + 2x * 3) + 2x * (3 + 2x)) = 0 -1((9 + 6x) + 2x * (3 + 2x)) = 0 -1(9 + 6x + (3 * 2x + 2x * 2x)) = 0 -1(9 + 6x + (6x + 4x2)) = 0 Combine like terms: 6x + 6x = 12x -1(9 + 12x + 4x2) = 0 (9 * -1 + 12x * -1 + 4x2 * -1) = 0 (-9 + -12x + -4x2) = 0 Solving -9 + -12x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 12x + 4x2) = 0 Factor a trinomial. -1((3 + 2x)(3 + 2x)) = 0 Ignore the factor -1.Subproblem 1
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 = -1.5Subproblem 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 = {-1.5, -1.5}
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