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Simplifying x2 + 71 = -18x + -9 Reorder the terms: 71 + x2 = -18x + -9 Reorder the terms: 71 + x2 = -9 + -18x Solving 71 + x2 = -9 + -18x Solving for variable 'x'. Reorder the terms: 71 + 9 + 18x + x2 = -9 + -18x + 9 + 18x Combine like terms: 71 + 9 = 80 80 + 18x + x2 = -9 + -18x + 9 + 18x Reorder the terms: 80 + 18x + x2 = -9 + 9 + -18x + 18x Combine like terms: -9 + 9 = 0 80 + 18x + x2 = 0 + -18x + 18x 80 + 18x + x2 = -18x + 18x Combine like terms: -18x + 18x = 0 80 + 18x + x2 = 0 Factor a trinomial. (10 + x)(8 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -8}
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