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