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