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Simplifying x2 + 320x + -90000 = 0 Reorder the terms: -90000 + 320x + x2 = 0 Solving -90000 + 320x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-500 + -1x)(180 + -1x) = 0Subproblem 1
Set the factor '(-500 + -1x)' equal to zero and attempt to solve: Simplifying -500 + -1x = 0 Solving -500 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 500 + -1x = 0 + 500 Combine like terms: -500 + 500 = 0 0 + -1x = 0 + 500 -1x = 0 + 500 Combine like terms: 0 + 500 = 500 -1x = 500 Divide each side by '-1'. x = -500 Simplifying x = -500Subproblem 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 = {-500, 180}
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