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