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Simplifying 0 = -2x2 + 4x Reorder the terms: 0 = 4x + -2x2 Solving 0 = 4x + -2x2 Solving for variable 'x'. Remove the zero: -4x + 2x2 = 4x + -2x2 + -4x + 2x2 Reorder the terms: -4x + 2x2 = 4x + -4x + -2x2 + 2x2 Combine like terms: 4x + -4x = 0 -4x + 2x2 = 0 + -2x2 + 2x2 -4x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 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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