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Simplifying 0 = x2 + 17x + 72 Reorder the terms: 0 = 72 + 17x + x2 Solving 0 = 72 + 17x + x2 Solving for variable 'x'. Combine like terms: 0 + -72 = -72 -72 + -17x + -1x2 = 72 + 17x + x2 + -72 + -17x + -1x2 Reorder the terms: -72 + -17x + -1x2 = 72 + -72 + 17x + -17x + x2 + -1x2 Combine like terms: 72 + -72 = 0 -72 + -17x + -1x2 = 0 + 17x + -17x + x2 + -1x2 -72 + -17x + -1x2 = 17x + -17x + x2 + -1x2 Combine like terms: 17x + -17x = 0 -72 + -17x + -1x2 = 0 + x2 + -1x2 -72 + -17x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -72 + -17x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(72 + 17x + x2) = 0 Factor a trinomial. -1((9 + x)(8 + x)) = 0 Ignore the factor -1.Subproblem 1
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 = -9Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-9, -8}
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