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Simplifying 0 = -2x2 + -16x Reorder the terms: 0 = -16x + -2x2 Solving 0 = -16x + -2x2 Solving for variable 'x'. Remove the zero: 16x + 2x2 = -16x + -2x2 + 16x + 2x2 Reorder the terms: 16x + 2x2 = -16x + 16x + -2x2 + 2x2 Combine like terms: -16x + 16x = 0 16x + 2x2 = 0 + -2x2 + 2x2 16x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(8 + 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 '(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 = {0, -8}
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