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Simplifying (2x + 4)(2x + -1) = 0 Reorder the terms: (4 + 2x)(2x + -1) = 0 Reorder the terms: (4 + 2x)(-1 + 2x) = 0 Multiply (4 + 2x) * (-1 + 2x) (4(-1 + 2x) + 2x * (-1 + 2x)) = 0 ((-1 * 4 + 2x * 4) + 2x * (-1 + 2x)) = 0 ((-4 + 8x) + 2x * (-1 + 2x)) = 0 (-4 + 8x + (-1 * 2x + 2x * 2x)) = 0 (-4 + 8x + (-2x + 4x2)) = 0 Combine like terms: 8x + -2x = 6x (-4 + 6x + 4x2) = 0 Solving -4 + 6x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3x + 2x2) = 0 Factor a trinomial. 2((-2 + -1x)(1 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 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 = {-2, 0.5}
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