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Simplifying 2xy = 4x2 + 4x Reorder the terms: 2xy = 4x + 4x2 Solving 2xy = 4x + 4x2 Solving for variable 'x'. Reorder the terms: -4x + 2xy + -4x2 = 4x + 4x2 + -4x + -4x2 Reorder the terms: -4x + 2xy + -4x2 = 4x + -4x + 4x2 + -4x2 Combine like terms: 4x + -4x = 0 -4x + 2xy + -4x2 = 0 + 4x2 + -4x2 -4x + 2xy + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x + 2xy + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-2 + y + -2x) = 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 + y + -2x)' equal to zero and attempt to solve: Simplifying -2 + y + -2x = 0 Reorder the terms: -2 + -2x + y = 0 Solving -2 + -2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -2x + 2 + y = 0 + 2 Reorder the terms: -2 + 2 + -2x + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2x + y = 0 + 2 -2x + y = 0 + 2 Combine like terms: 0 + 2 = 2 -2x + y = 2 Add '-1y' to each side of the equation. -2x + y + -1y = 2 + -1y Combine like terms: y + -1y = 0 -2x + 0 = 2 + -1y -2x = 2 + -1y Divide each side by '-2'. x = -1 + 0.5y Simplifying x = -1 + 0.5ySolution
x = {0, -1 + 0.5y}
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