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Simplifying 16x(x + 1) = 117 Reorder the terms: 16x(1 + x) = 117 (1 * 16x + x * 16x) = 117 (16x + 16x2) = 117 Solving 16x + 16x2 = 117 Solving for variable 'x'. Reorder the terms: -117 + 16x + 16x2 = 117 + -117 Combine like terms: 117 + -117 = 0 -117 + 16x + 16x2 = 0 Factor a trinomial. (-13 + -4x)(9 + -4x) = 0Subproblem 1
Set the factor '(-13 + -4x)' equal to zero and attempt to solve: Simplifying -13 + -4x = 0 Solving -13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 0 + 13 -4x = 0 + 13 Combine like terms: 0 + 13 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-3.25, 2.25}
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