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Simplifying X2 + -1X + 2X + 108 = 180 Reorder the terms: 108 + -1X + 2X + X2 = 180 Combine like terms: -1X + 2X = 1X 108 + 1X + X2 = 180 Solving 108 + 1X + X2 = 180 Solving for variable 'X'. Reorder the terms: 108 + -180 + 1X + X2 = 180 + -180 Combine like terms: 108 + -180 = -72 -72 + 1X + X2 = 180 + -180 Combine like terms: 180 + -180 = 0 -72 + 1X + X2 = 0 Factor a trinomial. (-9 + -1X)(8 + -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 '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {-9, 8}
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