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Simplifying x2 + (2x + 12) = 180 Reorder the terms: x2 + (12 + 2x) = 180 Remove parenthesis around (12 + 2x) x2 + 12 + 2x = 180 Reorder the terms: 12 + 2x + x2 = 180 Solving 12 + 2x + x2 = 180 Solving for variable 'x'. Reorder the terms: 12 + -180 + 2x + x2 = 180 + -180 Combine like terms: 12 + -180 = -168 -168 + 2x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -168 + 2x + x2 = 0 Factor a trinomial. (-14 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 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 = {-14, 12}
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