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Simplifying (x2 + -1x + -32220) = 0 Reorder the terms: (-32220 + -1x + x2) = 0 Remove parenthesis around (-32220 + -1x + x2) -32220 + -1x + x2 = 0 Solving -32220 + -1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-179 + -1x)(180 + -1x) = 0Subproblem 1
Set the factor '(-179 + -1x)' equal to zero and attempt to solve: Simplifying -179 + -1x = 0 Solving -179 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '179' to each side of the equation. -179 + 179 + -1x = 0 + 179 Combine like terms: -179 + 179 = 0 0 + -1x = 0 + 179 -1x = 0 + 179 Combine like terms: 0 + 179 = 179 -1x = 179 Divide each side by '-1'. x = -179 Simplifying x = -179Subproblem 2
Set the factor '(180 + -1x)' equal to zero and attempt to solve: Simplifying 180 + -1x = 0 Solving 180 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + -1x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -1x = 0 + -180 -1x = 0 + -180 Combine like terms: 0 + -180 = -180 -1x = -180 Divide each side by '-1'. x = 180 Simplifying x = 180Solution
x = {-179, 180}
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