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Simplifying 36x2 + 19x + -80 = 0 Reorder the terms: -80 + 19x + 36x2 = 0 Solving -80 + 19x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -9x)(5 + -4x) = 0Subproblem 1
Set the factor '(-16 + -9x)' equal to zero and attempt to solve: Simplifying -16 + -9x = 0 Solving -16 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -9x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = 0 + 16 -9x = 0 + 16 Combine like terms: 0 + 16 = 16 -9x = 16 Divide each side by '-9'. x = -1.777777778 Simplifying x = -1.777777778Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-1.777777778, 1.25}
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