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Simplifying (4x + 2)(-5x + 5) = 0 Reorder the terms: (2 + 4x)(-5x + 5) = 0 Reorder the terms: (2 + 4x)(5 + -5x) = 0 Multiply (2 + 4x) * (5 + -5x) (2(5 + -5x) + 4x * (5 + -5x)) = 0 ((5 * 2 + -5x * 2) + 4x * (5 + -5x)) = 0 ((10 + -10x) + 4x * (5 + -5x)) = 0 (10 + -10x + (5 * 4x + -5x * 4x)) = 0 (10 + -10x + (20x + -20x2)) = 0 Combine like terms: -10x + 20x = 10x (10 + 10x + -20x2) = 0 Solving 10 + 10x + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(1 + x + -2x2) = 0 Factor a trinomial. 10((1 + -1x)(1 + 2x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 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, -0.5}
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