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Simplifying -1x2 = 1 + 2x Solving -1x2 = 1 + 2x Solving for variable 'x'. Reorder the terms: -1 + -2x + -1x2 = 1 + 2x + -1 + -2x Reorder the terms: -1 + -2x + -1x2 = 1 + -1 + 2x + -2x Combine like terms: 1 + -1 = 0 -1 + -2x + -1x2 = 0 + 2x + -2x -1 + -2x + -1x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -2x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 2x + x2) = 0 Factor a trinomial. -1((1 + x)(1 + x)) = 0 Ignore the factor -1.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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