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Simplifying 4x(x + 4) + -2x(x + -5) = 0 Reorder the terms: 4x(4 + x) + -2x(x + -5) = 0 (4 * 4x + x * 4x) + -2x(x + -5) = 0 (16x + 4x2) + -2x(x + -5) = 0 Reorder the terms: 16x + 4x2 + -2x(-5 + x) = 0 16x + 4x2 + (-5 * -2x + x * -2x) = 0 16x + 4x2 + (10x + -2x2) = 0 Reorder the terms: 16x + 10x + 4x2 + -2x2 = 0 Combine like terms: 16x + 10x = 26x 26x + 4x2 + -2x2 = 0 Combine like terms: 4x2 + -2x2 = 2x2 26x + 2x2 = 0 Solving 26x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(13 + 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 '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {0, -13}
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