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Simplifying -1x2 + -3x + 2 = x + 6 Reorder the terms: 2 + -3x + -1x2 = x + 6 Reorder the terms: 2 + -3x + -1x2 = 6 + x Solving 2 + -3x + -1x2 = 6 + x Solving for variable 'x'. Reorder the terms: 2 + -6 + -3x + -1x + -1x2 = 6 + x + -6 + -1x Combine like terms: 2 + -6 = -4 -4 + -3x + -1x + -1x2 = 6 + x + -6 + -1x Combine like terms: -3x + -1x = -4x -4 + -4x + -1x2 = 6 + x + -6 + -1x Reorder the terms: -4 + -4x + -1x2 = 6 + -6 + x + -1x Combine like terms: 6 + -6 = 0 -4 + -4x + -1x2 = 0 + x + -1x -4 + -4x + -1x2 = x + -1x Combine like terms: x + -1x = 0 -4 + -4x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 4x + x2) = 0 Factor a trinomial. -1((2 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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