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Simplifying 70x + -16x2 = 76 Solving 70x + -16x2 = 76 Solving for variable 'x'. Reorder the terms: -76 + 70x + -16x2 = 76 + -76 Combine like terms: 76 + -76 = 0 -76 + 70x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-38 + 35x + -8x2) = 0 Factor a trinomial. 2((-19 + 8x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = 2.375Subproblem 2
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 = 2Solution
x = {2.375, 2}
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