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Simplifying 0 = 2x2 + 8x + 8 Reorder the terms: 0 = 8 + 8x + 2x2 Solving 0 = 8 + 8x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -8 = -8 -8 + -8x + -2x2 = 8 + 8x + 2x2 + -8 + -8x + -2x2 Reorder the terms: -8 + -8x + -2x2 = 8 + -8 + 8x + -8x + 2x2 + -2x2 Combine like terms: 8 + -8 = 0 -8 + -8x + -2x2 = 0 + 8x + -8x + 2x2 + -2x2 -8 + -8x + -2x2 = 8x + -8x + 2x2 + -2x2 Combine like terms: 8x + -8x = 0 -8 + -8x + -2x2 = 0 + 2x2 + -2x2 -8 + -8x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8 + -8x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(4 + 4x + x2) = 0 Factor a trinomial. -2((2 + x)(2 + x)) = 0 Ignore the factor -2.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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