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Simplifying 2xy2 + -4x2y + 8xy = 0 Reorder the terms: 8xy + 2xy2 + -4x2y = 0 Solving 8xy + 2xy2 + -4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(4 + y + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + y + -2x)' equal to zero and attempt to solve: Simplifying 4 + y + -2x = 0 Reorder the terms: 4 + -2x + y = 0 Solving 4 + -2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2x + -4 + y = 0 + -4 Reorder the terms: 4 + -4 + -2x + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x + y = 0 + -4 -2x + y = 0 + -4 Combine like terms: 0 + -4 = -4 -2x + y = -4 Add '-1y' to each side of the equation. -2x + y + -1y = -4 + -1y Combine like terms: y + -1y = 0 -2x + 0 = -4 + -1y -2x = -4 + -1y Divide each side by '-2'. x = 2 + 0.5y Simplifying x = 2 + 0.5ySolution
x = {2 + 0.5y}
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