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Simplifying -5x2 + 10x + -215 = -710 Reorder the terms: -215 + 10x + -5x2 = -710 Solving -215 + 10x + -5x2 = -710 Solving for variable 'x'. Reorder the terms: -215 + 710 + 10x + -5x2 = -710 + 710 Combine like terms: -215 + 710 = 495 495 + 10x + -5x2 = -710 + 710 Combine like terms: -710 + 710 = 0 495 + 10x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(99 + 2x + -1x2) = 0 Factor a trinomial. 5((11 + -1x)(9 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {11, -9}
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