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Simplifying (2x + -4)(x + 5) = 0 Reorder the terms: (-4 + 2x)(x + 5) = 0 Reorder the terms: (-4 + 2x)(5 + x) = 0 Multiply (-4 + 2x) * (5 + x) (-4(5 + x) + 2x * (5 + x)) = 0 ((5 * -4 + x * -4) + 2x * (5 + x)) = 0 ((-20 + -4x) + 2x * (5 + x)) = 0 (-20 + -4x + (5 * 2x + x * 2x)) = 0 (-20 + -4x + (10x + 2x2)) = 0 Combine like terms: -4x + 10x = 6x (-20 + 6x + 2x2) = 0 Solving -20 + 6x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 3x + x2) = 0 Factor a trinomial. 2((-5 + -1x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -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 = {-5, 2}
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