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Simplifying x + 2 = x2 + 3x + -6 Reorder the terms: 2 + x = x2 + 3x + -6 Reorder the terms: 2 + x = -6 + 3x + x2 Solving 2 + x = -6 + 3x + x2 Solving for variable 'x'. Reorder the terms: 2 + 6 + x + -3x + -1x2 = -6 + 3x + x2 + 6 + -3x + -1x2 Combine like terms: 2 + 6 = 8 8 + x + -3x + -1x2 = -6 + 3x + x2 + 6 + -3x + -1x2 Combine like terms: x + -3x = -2x 8 + -2x + -1x2 = -6 + 3x + x2 + 6 + -3x + -1x2 Reorder the terms: 8 + -2x + -1x2 = -6 + 6 + 3x + -3x + x2 + -1x2 Combine like terms: -6 + 6 = 0 8 + -2x + -1x2 = 0 + 3x + -3x + x2 + -1x2 8 + -2x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 8 + -2x + -1x2 = 0 + x2 + -1x2 8 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + -2x + -1x2 = 0 Factor a trinomial. (2 + -1x)(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {2, -4}
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