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Simplifying 0 = 2x2 + -4xy Reorder the terms: 0 = -4xy + 2x2 Solving 0 = -4xy + 2x2 Solving for variable 'x'. Remove the zero: 4xy + -2x2 = -4xy + 2x2 + 4xy + -2x2 Reorder the terms: 4xy + -2x2 = -4xy + 4xy + 2x2 + -2x2 Combine like terms: -4xy + 4xy = 0 4xy + -2x2 = 0 + 2x2 + -2x2 4xy + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4xy + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(2y + -1x) = 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 '(2y + -1x)' equal to zero and attempt to solve: Simplifying 2y + -1x = 0 Reorder the terms: -1x + 2y = 0 Solving -1x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 0 + -2y -1x = 0 + -2y Remove the zero: -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2ySolution
x = {0, 2y}
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