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Simplifying -1x2 + -1 = -2x + -9 Reorder the terms: -1 + -1x2 = -2x + -9 Reorder the terms: -1 + -1x2 = -9 + -2x Solving -1 + -1x2 = -9 + -2x Solving for variable 'x'. Reorder the terms: -1 + 9 + 2x + -1x2 = -9 + -2x + 9 + 2x Combine like terms: -1 + 9 = 8 8 + 2x + -1x2 = -9 + -2x + 9 + 2x Reorder the terms: 8 + 2x + -1x2 = -9 + 9 + -2x + 2x Combine like terms: -9 + 9 = 0 8 + 2x + -1x2 = 0 + -2x + 2x 8 + 2x + -1x2 = -2x + 2x Combine like terms: -2x + 2x = 0 8 + 2x + -1x2 = 0 Factor a trinomial. (4 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {4, -2}
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