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Simplifying -1x2 = 2x + -99 Reorder the terms: -1x2 = -99 + 2x Solving -1x2 = -99 + 2x Solving for variable 'x'. Reorder the terms: 99 + -2x + -1x2 = -99 + 2x + 99 + -2x Reorder the terms: 99 + -2x + -1x2 = -99 + 99 + 2x + -2x Combine like terms: -99 + 99 = 0 99 + -2x + -1x2 = 0 + 2x + -2x 99 + -2x + -1x2 = 2x + -2x Combine like terms: 2x + -2x = 0 99 + -2x + -1x2 = 0 Factor a trinomial. (9 + -1x)(11 + x) = 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {9, -11}
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