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Simplifying 2x2 + 4x + -8 = 502 Reorder the terms: -8 + 4x + 2x2 = 502 Solving -8 + 4x + 2x2 = 502 Solving for variable 'x'. Reorder the terms: -8 + -502 + 4x + 2x2 = 502 + -502 Combine like terms: -8 + -502 = -510 -510 + 4x + 2x2 = 502 + -502 Combine like terms: 502 + -502 = 0 -510 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-255 + 2x + x2) = 0 Factor a trinomial. 2((-17 + -1x)(15 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 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 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-17, 15}
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