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Simplifying 22 = x2 + 3x + -18 Reorder the terms: 22 = -18 + 3x + x2 Solving 22 = -18 + 3x + x2 Solving for variable 'x'. Combine like terms: 22 + 18 = 40 40 + -3x + -1x2 = -18 + 3x + x2 + 18 + -3x + -1x2 Reorder the terms: 40 + -3x + -1x2 = -18 + 18 + 3x + -3x + x2 + -1x2 Combine like terms: -18 + 18 = 0 40 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2 40 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 40 + -3x + -1x2 = 0 + x2 + -1x2 40 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 40 + -3x + -1x2 = 0 Factor a trinomial. (5 + -1x)(8 + x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 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 = {5, -8}
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