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Simplifying (-2x + -1)(2x + 3) = 0 Reorder the terms: (-1 + -2x)(2x + 3) = 0 Reorder the terms: (-1 + -2x)(3 + 2x) = 0 Multiply (-1 + -2x) * (3 + 2x) (-1(3 + 2x) + -2x * (3 + 2x)) = 0 ((3 * -1 + 2x * -1) + -2x * (3 + 2x)) = 0 ((-3 + -2x) + -2x * (3 + 2x)) = 0 (-3 + -2x + (3 * -2x + 2x * -2x)) = 0 (-3 + -2x + (-6x + -4x2)) = 0 Combine like terms: -2x + -6x = -8x (-3 + -8x + -4x2) = 0 Solving -3 + -8x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 8x + 4x2) = 0 Factor a trinomial. -1((3 + 2x)(1 + 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-1.5, -0.5}
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