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Simplifying 2x(x + -5) = 4x(x + 5) Reorder the terms: 2x(-5 + x) = 4x(x + 5) (-5 * 2x + x * 2x) = 4x(x + 5) (-10x + 2x2) = 4x(x + 5) Reorder the terms: -10x + 2x2 = 4x(5 + x) -10x + 2x2 = (5 * 4x + x * 4x) -10x + 2x2 = (20x + 4x2) Solving -10x + 2x2 = 20x + 4x2 Solving for variable 'x'. Reorder the terms: -10x + -20x + 2x2 + -4x2 = 20x + 4x2 + -20x + -4x2 Combine like terms: -10x + -20x = -30x -30x + 2x2 + -4x2 = 20x + 4x2 + -20x + -4x2 Combine like terms: 2x2 + -4x2 = -2x2 -30x + -2x2 = 20x + 4x2 + -20x + -4x2 Reorder the terms: -30x + -2x2 = 20x + -20x + 4x2 + -4x2 Combine like terms: 20x + -20x = 0 -30x + -2x2 = 0 + 4x2 + -4x2 -30x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -30x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(15 + 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 '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {0, -15}
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