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Simplifying -6x + -3 = x2 + -4x + -2 Reorder the terms: -3 + -6x = x2 + -4x + -2 Reorder the terms: -3 + -6x = -2 + -4x + x2 Solving -3 + -6x = -2 + -4x + x2 Solving for variable 'x'. Reorder the terms: -3 + 2 + -6x + 4x + -1x2 = -2 + -4x + x2 + 2 + 4x + -1x2 Combine like terms: -3 + 2 = -1 -1 + -6x + 4x + -1x2 = -2 + -4x + x2 + 2 + 4x + -1x2 Combine like terms: -6x + 4x = -2x -1 + -2x + -1x2 = -2 + -4x + x2 + 2 + 4x + -1x2 Reorder the terms: -1 + -2x + -1x2 = -2 + 2 + -4x + 4x + x2 + -1x2 Combine like terms: -2 + 2 = 0 -1 + -2x + -1x2 = 0 + -4x + 4x + x2 + -1x2 -1 + -2x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 -1 + -2x + -1x2 = 0 + x2 + -1x2 -1 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 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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