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Simplifying 2x2 + -8xy + 8xy2 = 0 Reorder the terms: -8xy + 8xy2 + 2x2 = 0 Solving -8xy + 8xy2 + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4y + 4y2 + 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 '(-4y + 4y2 + x)' equal to zero and attempt to solve: Simplifying -4y + 4y2 + x = 0 Reorder the terms: x + -4y + 4y2 = 0 Solving x + -4y + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x + -4y + 4y + 4y2 = 0 + 4y Combine like terms: -4y + 4y = 0 x + 0 + 4y2 = 0 + 4y x + 4y2 = 0 + 4y Remove the zero: x + 4y2 = 4y Add '-4y2' to each side of the equation. x + 4y2 + -4y2 = 4y + -4y2 Combine like terms: 4y2 + -4y2 = 0 x + 0 = 4y + -4y2 x = 4y + -4y2 Simplifying x = 4y + -4y2Solution
x = {0, 4y + -4y2}
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