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Simplifying 2x2 + 18x + 36 = 308 Reorder the terms: 36 + 18x + 2x2 = 308 Solving 36 + 18x + 2x2 = 308 Solving for variable 'x'. Reorder the terms: 36 + -308 + 18x + 2x2 = 308 + -308 Combine like terms: 36 + -308 = -272 -272 + 18x + 2x2 = 308 + -308 Combine like terms: 308 + -308 = 0 -272 + 18x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-136 + 9x + x2) = 0 Factor a trinomial. 2((-17 + -1x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-17, 8}
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