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Simplifying (4x + -2)(5x + 2) = 0 Reorder the terms: (-2 + 4x)(5x + 2) = 0 Reorder the terms: (-2 + 4x)(2 + 5x) = 0 Multiply (-2 + 4x) * (2 + 5x) (-2(2 + 5x) + 4x * (2 + 5x)) = 0 ((2 * -2 + 5x * -2) + 4x * (2 + 5x)) = 0 ((-4 + -10x) + 4x * (2 + 5x)) = 0 (-4 + -10x + (2 * 4x + 5x * 4x)) = 0 (-4 + -10x + (8x + 20x2)) = 0 Combine like terms: -10x + 8x = -2x (-4 + -2x + 20x2) = 0 Solving -4 + -2x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -1x + 10x2) = 0 Factor a trinomial. 2((-2 + -5x)(1 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 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 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 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 = {-0.4, 0.5}
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