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Simplifying x + 2 = x2 + 2x + -4 Reorder the terms: 2 + x = x2 + 2x + -4 Reorder the terms: 2 + x = -4 + 2x + x2 Solving 2 + x = -4 + 2x + x2 Solving for variable 'x'. Reorder the terms: 2 + 4 + x + -2x + -1x2 = -4 + 2x + x2 + 4 + -2x + -1x2 Combine like terms: 2 + 4 = 6 6 + x + -2x + -1x2 = -4 + 2x + x2 + 4 + -2x + -1x2 Combine like terms: x + -2x = -1x 6 + -1x + -1x2 = -4 + 2x + x2 + 4 + -2x + -1x2 Reorder the terms: 6 + -1x + -1x2 = -4 + 4 + 2x + -2x + x2 + -1x2 Combine like terms: -4 + 4 = 0 6 + -1x + -1x2 = 0 + 2x + -2x + x2 + -1x2 6 + -1x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 6 + -1x + -1x2 = 0 + x2 + -1x2 6 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + -1x + -1x2 = 0 Factor a trinomial. (2 + -1x)(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {2, -3}
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