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Simplifying 32x2 + -20x + -187 = 0 Reorder the terms: -187 + -20x + 32x2 = 0 Solving -187 + -20x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -8x)(11 + -4x) = 0Subproblem 1
Set the factor '(-17 + -8x)' equal to zero and attempt to solve: Simplifying -17 + -8x = 0 Solving -17 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -8x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = 0 + 17 -8x = 0 + 17 Combine like terms: 0 + 17 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125Subproblem 2
Set the factor '(11 + -4x)' equal to zero and attempt to solve: Simplifying 11 + -4x = 0 Solving 11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 0 + -11 -4x = 0 + -11 Combine like terms: 0 + -11 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75Solution
x = {-2.125, 2.75}
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