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Simplifying (x + -2)(2x) + -1x2(1) = 0 Reorder the terms: (-2 + x)(2x) + -1x2(1) = 0 Remove parenthesis around (2x) (-2 + x) * 2x + -1x2(1) = 0 Reorder the terms for easier multiplication: 2x(-2 + x) + -1x2(1) = 0 (-2 * 2x + x * 2x) + -1x2(1) = 0 (-4x + 2x2) + -1x2(1) = 0 Reorder the terms for easier multiplication: -4x + 2x2 + -1 * 1x2 = 0 Multiply -1 * 1 -4x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 -4x + 1x2 = 0 Solving -4x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + x) = 0Subproblem 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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