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Simplifying 120 + x2 + -200 + 11x = 100 Reorder the terms: 120 + -200 + 11x + x2 = 100 Combine like terms: 120 + -200 = -80 -80 + 11x + x2 = 100 Solving -80 + 11x + x2 = 100 Solving for variable 'x'. Reorder the terms: -80 + -100 + 11x + x2 = 100 + -100 Combine like terms: -80 + -100 = -180 -180 + 11x + x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -180 + 11x + x2 = 0 Factor a trinomial. (-20 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20Subproblem 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 = {-20, 9}
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