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Simplifying 2y2 = 4xy Solving 2y2 = 4xy Solving for variable 'y'. Reorder the terms: -4xy + 2y2 = 4xy + -4xy Combine like terms: 4xy + -4xy = 0 -4xy + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-2x + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-2x + y)' equal to zero and attempt to solve: Simplifying -2x + y = 0 Solving -2x + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + 2x + y = 0 + 2x Combine like terms: -2x + 2x = 0 0 + y = 0 + 2x y = 0 + 2x Remove the zero: y = 2x Simplifying y = 2xSolution
y = {0, 2x}
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