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Simplifying (2x + -8)(9x + 5) = 0 Reorder the terms: (-8 + 2x)(9x + 5) = 0 Reorder the terms: (-8 + 2x)(5 + 9x) = 0 Multiply (-8 + 2x) * (5 + 9x) (-8(5 + 9x) + 2x * (5 + 9x)) = 0 ((5 * -8 + 9x * -8) + 2x * (5 + 9x)) = 0 ((-40 + -72x) + 2x * (5 + 9x)) = 0 (-40 + -72x + (5 * 2x + 9x * 2x)) = 0 (-40 + -72x + (10x + 18x2)) = 0 Combine like terms: -72x + 10x = -62x (-40 + -62x + 18x2) = 0 Solving -40 + -62x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + -31x + 9x2) = 0 Factor a trinomial. 2((-5 + -9x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.5555555556Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-0.5555555556, 4}
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