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Simplifying -16x2 + 128x + -87 = 0 Reorder the terms: -87 + 128x + -16x2 = 0 Solving -87 + 128x + -16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-29 + 4x)(3 + -4x) = 0Subproblem 1
Set the factor '(-29 + 4x)' equal to zero and attempt to solve: Simplifying -29 + 4x = 0 Solving -29 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 4x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 4x = 0 + 29 4x = 0 + 29 Combine like terms: 0 + 29 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {7.25, 0.75}
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