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