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Simplifying (8x + -4) + (x2 + 31) = 180 Reorder the terms: (-4 + 8x) + (x2 + 31) = 180 Remove parenthesis around (-4 + 8x) -4 + 8x + (x2 + 31) = 180 Reorder the terms: -4 + 8x + (31 + x2) = 180 Remove parenthesis around (31 + x2) -4 + 8x + 31 + x2 = 180 Reorder the terms: -4 + 31 + 8x + x2 = 180 Combine like terms: -4 + 31 = 27 27 + 8x + x2 = 180 Solving 27 + 8x + x2 = 180 Solving for variable 'x'. Reorder the terms: 27 + -180 + 8x + x2 = 180 + -180 Combine like terms: 27 + -180 = -153 -153 + 8x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -153 + 8x + x2 = 0 Factor a trinomial. (-17 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17Subproblem 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 = {-17, 9}
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