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Simplifying (9x + -5)(2x + 4) = 0 Reorder the terms: (-5 + 9x)(2x + 4) = 0 Reorder the terms: (-5 + 9x)(4 + 2x) = 0 Multiply (-5 + 9x) * (4 + 2x) (-5(4 + 2x) + 9x * (4 + 2x)) = 0 ((4 * -5 + 2x * -5) + 9x * (4 + 2x)) = 0 ((-20 + -10x) + 9x * (4 + 2x)) = 0 (-20 + -10x + (4 * 9x + 2x * 9x)) = 0 (-20 + -10x + (36x + 18x2)) = 0 Combine like terms: -10x + 36x = 26x (-20 + 26x + 18x2) = 0 Solving -20 + 26x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 13x + 9x2) = 0 Factor a trinomial. 2((-2 + -1x)(5 + -9x)) = 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 '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 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 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {-2, 0.5555555556}
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