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Simplifying 0 = 2x(x + 4) Reorder the terms: 0 = 2x(4 + x) 0 = (4 * 2x + x * 2x) 0 = (8x + 2x2) Solving 0 = 8x + 2x2 Solving for variable 'x'. Remove the zero: -8x + -2x2 = 8x + 2x2 + -8x + -2x2 Reorder the terms: -8x + -2x2 = 8x + -8x + 2x2 + -2x2 Combine like terms: 8x + -8x = 0 -8x + -2x2 = 0 + 2x2 + -2x2 -8x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -4}
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