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Simplifying 76 = -16x2 + 70x Reorder the terms: 76 = 70x + -16x2 Solving 76 = 70x + -16x2 Solving for variable 'x'. Reorder the terms: 76 + -70x + 16x2 = 70x + -70x + -16x2 + 16x2 Combine like terms: 70x + -70x = 0 76 + -70x + 16x2 = 0 + -16x2 + 16x2 76 + -70x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 76 + -70x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(38 + -35x + 8x2) = 0 Factor a trinomial. 2((2 + -1x)(19 + -8x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(19 + -8x)' equal to zero and attempt to solve: Simplifying 19 + -8x = 0 Solving 19 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -8x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = 0 + -19 -8x = 0 + -19 Combine like terms: 0 + -19 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375Solution
x = {2, 2.375}
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