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Simplifying x2 + 18x + 57 = -8 Reorder the terms: 57 + 18x + x2 = -8 Solving 57 + 18x + x2 = -8 Solving for variable 'x'. Reorder the terms: 57 + 8 + 18x + x2 = -8 + 8 Combine like terms: 57 + 8 = 65 65 + 18x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 65 + 18x + x2 = 0 Factor a trinomial. (13 + x)(5 + x) = 0Subproblem 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-13, -5}
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