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Simplifying 2x2 + 128 = -32x Reorder the terms: 128 + 2x2 = -32x Solving 128 + 2x2 = -32x Solving for variable 'x'. Reorder the terms: 128 + 32x + 2x2 = -32x + 32x Combine like terms: -32x + 32x = 0 128 + 32x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(64 + 16x + x2) = 0 Factor a trinomial. 2((8 + x)(8 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-8, -8}
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