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Simplifying x2 + 9x + 20 = 182 Reorder the terms: 20 + 9x + x2 = 182 Solving 20 + 9x + x2 = 182 Solving for variable 'x'. Reorder the terms: 20 + -182 + 9x + x2 = 182 + -182 Combine like terms: 20 + -182 = -162 -162 + 9x + x2 = 182 + -182 Combine like terms: 182 + -182 = 0 -162 + 9x + x2 = 0 Factor a trinomial. (-18 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 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 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-18, 9}
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