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Simplifying 9x2 + 16x + -80 = 0 Reorder the terms: -80 + 16x + 9x2 = 0 Solving -80 + 16x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(20 + -9x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(20 + -9x)' equal to zero and attempt to solve: Simplifying 20 + -9x = 0 Solving 20 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -9x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 0 + -20 -9x = 0 + -20 Combine like terms: 0 + -20 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222Solution
x = {-4, 2.222222222}
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