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Simplifying 7 = x2 + -2x + -1 Reorder the terms: 7 = -1 + -2x + x2 Solving 7 = -1 + -2x + x2 Solving for variable 'x'. Combine like terms: 7 + 1 = 8 8 + 2x + -1x2 = -1 + -2x + x2 + 1 + 2x + -1x2 Reorder the terms: 8 + 2x + -1x2 = -1 + 1 + -2x + 2x + x2 + -1x2 Combine like terms: -1 + 1 = 0 8 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2 8 + 2x + -1x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 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. (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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