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Simplifying x + -2 = x * x + -4 Reorder the terms: -2 + x = x * x + -4 Multiply x * x -2 + x = x2 + -4 Reorder the terms: -2 + x = -4 + x2 Solving -2 + x = -4 + x2 Solving for variable 'x'. Reorder the terms: -2 + 4 + x + -1x2 = -4 + x2 + 4 + -1x2 Combine like terms: -2 + 4 = 2 2 + x + -1x2 = -4 + x2 + 4 + -1x2 Reorder the terms: 2 + x + -1x2 = -4 + 4 + x2 + -1x2 Combine like terms: -4 + 4 = 0 2 + x + -1x2 = 0 + x2 + -1x2 2 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + x + -1x2 = 0 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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