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Simplifying x2 + 60x + -43200 = 0 Reorder the terms: -43200 + 60x + x2 = 0 Solving -43200 + 60x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-240 + -1x)(180 + -1x) = 0Subproblem 1
Set the factor '(-240 + -1x)' equal to zero and attempt to solve: Simplifying -240 + -1x = 0 Solving -240 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '240' to each side of the equation. -240 + 240 + -1x = 0 + 240 Combine like terms: -240 + 240 = 0 0 + -1x = 0 + 240 -1x = 0 + 240 Combine like terms: 0 + 240 = 240 -1x = 240 Divide each side by '-1'. x = -240 Simplifying x = -240Subproblem 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 = {-240, 180}
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