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