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Simplifying -16x2 + 30x + 136 = 0 Reorder the terms: 136 + 30x + -16x2 = 0 Solving 136 + 30x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(68 + 15x + -8x2) = 0 Factor a trinomial. 2((4 + -1x)(17 + 8x)) = 0 Ignore the factor 2.Subproblem 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 '(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 = -2.125Solution
x = {4, -2.125}
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