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Simplifying 2(4x2 + -96x + 527) = 0 Reorder the terms: 2(527 + -96x + 4x2) = 0 (527 * 2 + -96x * 2 + 4x2 * 2) = 0 (1054 + -192x + 8x2) = 0 Solving 1054 + -192x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(527 + -96x + 4x2) = 0 Factor a trinomial. 2((17 + -2x)(31 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(17 + -2x)' equal to zero and attempt to solve: Simplifying 17 + -2x = 0 Solving 17 + -2x = 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 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5Subproblem 2
Set the factor '(31 + -2x)' equal to zero and attempt to solve: Simplifying 31 + -2x = 0 Solving 31 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -2x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 0 + -31 -2x = 0 + -31 Combine like terms: 0 + -31 = -31 -2x = -31 Divide each side by '-2'. x = 15.5 Simplifying x = 15.5Solution
x = {8.5, 15.5}
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