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Simplifying x2 + -3x + 72 = 180 Reorder the terms: 72 + -3x + x2 = 180 Solving 72 + -3x + x2 = 180 Solving for variable 'x'. Reorder the terms: 72 + -180 + -3x + x2 = 180 + -180 Combine like terms: 72 + -180 = -108 -108 + -3x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -108 + -3x + x2 = 0 Factor a trinomial. (-9 + -1x)(12 + -1x) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-9, 12}
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