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Simplifying (5x + -1)(2x + 4) = 0 Reorder the terms: (-1 + 5x)(2x + 4) = 0 Reorder the terms: (-1 + 5x)(4 + 2x) = 0 Multiply (-1 + 5x) * (4 + 2x) (-1(4 + 2x) + 5x * (4 + 2x)) = 0 ((4 * -1 + 2x * -1) + 5x * (4 + 2x)) = 0 ((-4 + -2x) + 5x * (4 + 2x)) = 0 (-4 + -2x + (4 * 5x + 2x * 5x)) = 0 (-4 + -2x + (20x + 10x2)) = 0 Combine like terms: -2x + 20x = 18x (-4 + 18x + 10x2) = 0 Solving -4 + 18x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 9x + 5x2) = 0 Factor a trinomial. 2((-2 + -1x)(1 + -5x)) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-2, 0.2}
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