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Simplifying 110 + 4x + x2 + 5x = 180 Reorder the terms: 110 + 4x + 5x + x2 = 180 Combine like terms: 4x + 5x = 9x 110 + 9x + x2 = 180 Solving 110 + 9x + x2 = 180 Solving for variable 'x'. Reorder the terms: 110 + -180 + 9x + x2 = 180 + -180 Combine like terms: 110 + -180 = -70 -70 + 9x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -70 + 9x + x2 = 0 Factor a trinomial. (-14 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-14, 5}
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