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Simplifying x2 + -7x + (6x + 108) = 180 Reorder the terms: x2 + -7x + (108 + 6x) = 180 Remove parenthesis around (108 + 6x) x2 + -7x + 108 + 6x = 180 Reorder the terms: 108 + -7x + 6x + x2 = 180 Combine like terms: -7x + 6x = -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. (-8 + -1x)(9 + -1x) = 0Subproblem 1
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 = -8Subproblem 2
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 = 9Solution
x = {-8, 9}
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