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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 = -10x (4 + -10x + 4x2) = 0 Solving 4 + -10x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -5x + 2x2) = 0 Factor a trinomial. 2((1 + -2x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = 0.5Subproblem 2
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 = 2Solution
x = {0.5, 2}
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