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Simplifying -32 = 2(x2 + 10x) Reorder the terms: -32 = 2(10x + x2) -32 = (10x * 2 + x2 * 2) -32 = (20x + 2x2) Solving -32 = 20x + 2x2 Solving for variable 'x'. Reorder the terms: -32 + -20x + -2x2 = 20x + -20x + 2x2 + -2x2 Combine like terms: 20x + -20x = 0 -32 + -20x + -2x2 = 0 + 2x2 + -2x2 -32 + -20x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -32 + -20x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(16 + 10x + x2) = 0 Factor a trinomial. -2((8 + x)(2 + 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 '(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 = {-8, -2}
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