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Simplifying (3x + 23) + (x2 + 49) = 180 Reorder the terms: (23 + 3x) + (x2 + 49) = 180 Remove parenthesis around (23 + 3x) 23 + 3x + (x2 + 49) = 180 Reorder the terms: 23 + 3x + (49 + x2) = 180 Remove parenthesis around (49 + x2) 23 + 3x + 49 + x2 = 180 Reorder the terms: 23 + 49 + 3x + x2 = 180 Combine like terms: 23 + 49 = 72 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. (-12 + -1x)(9 + -1x) = 0Subproblem 1
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 = -12Subproblem 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 = {-12, 9}
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