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Simplifying x2 + -20x + 80 = -1x + -10 Reorder the terms: 80 + -20x + x2 = -1x + -10 Reorder the terms: 80 + -20x + x2 = -10 + -1x Solving 80 + -20x + x2 = -10 + -1x Solving for variable 'x'. Reorder the terms: 80 + 10 + -20x + x + x2 = -10 + -1x + 10 + x Combine like terms: 80 + 10 = 90 90 + -20x + x + x2 = -10 + -1x + 10 + x Combine like terms: -20x + x = -19x 90 + -19x + x2 = -10 + -1x + 10 + x Reorder the terms: 90 + -19x + x2 = -10 + 10 + -1x + x Combine like terms: -10 + 10 = 0 90 + -19x + x2 = 0 + -1x + x 90 + -19x + x2 = -1x + x Combine like terms: -1x + x = 0 90 + -19x + x2 = 0 Factor a trinomial. (9 + -1x)(10 + -1x) = 0Subproblem 1
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 = 9Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {9, 10}
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