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Simplifying 0 = x2 + 34x + 288 Reorder the terms: 0 = 288 + 34x + x2 Solving 0 = 288 + 34x + x2 Solving for variable 'x'. Combine like terms: 0 + -288 = -288 -288 + -34x + -1x2 = 288 + 34x + x2 + -288 + -34x + -1x2 Reorder the terms: -288 + -34x + -1x2 = 288 + -288 + 34x + -34x + x2 + -1x2 Combine like terms: 288 + -288 = 0 -288 + -34x + -1x2 = 0 + 34x + -34x + x2 + -1x2 -288 + -34x + -1x2 = 34x + -34x + x2 + -1x2 Combine like terms: 34x + -34x = 0 -288 + -34x + -1x2 = 0 + x2 + -1x2 -288 + -34x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -288 + -34x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(288 + 34x + x2) = 0 Factor a trinomial. -1((18 + x)(16 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {-18, -16}
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