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Simplifying 0 = 2x2 + 52x + 338 Reorder the terms: 0 = 338 + 52x + 2x2 Solving 0 = 338 + 52x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -338 = -338 -338 + -52x + -2x2 = 338 + 52x + 2x2 + -338 + -52x + -2x2 Reorder the terms: -338 + -52x + -2x2 = 338 + -338 + 52x + -52x + 2x2 + -2x2 Combine like terms: 338 + -338 = 0 -338 + -52x + -2x2 = 0 + 52x + -52x + 2x2 + -2x2 -338 + -52x + -2x2 = 52x + -52x + 2x2 + -2x2 Combine like terms: 52x + -52x = 0 -338 + -52x + -2x2 = 0 + 2x2 + -2x2 -338 + -52x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -338 + -52x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(169 + 26x + x2) = 0 Factor a trinomial. -2((13 + x)(13 + x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {-13, -13}
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