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Simplifying x2 + -90x + -16200 = 0 Reorder the terms: -16200 + -90x + x2 = 0 Solving -16200 + -90x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-90 + -1x)(180 + -1x) = 0Subproblem 1
Set the factor '(-90 + -1x)' equal to zero and attempt to solve: Simplifying -90 + -1x = 0 Solving -90 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -1x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -1x = 0 + 90 -1x = 0 + 90 Combine like terms: 0 + 90 = 90 -1x = 90 Divide each side by '-1'. x = -90 Simplifying x = -90Subproblem 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 = {-90, 180}
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