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Simplifying 3xy2 + -5xy2 + 2x2 + 4x2y = 0 Combine like terms: 3xy2 + -5xy2 = -2xy2 -2xy2 + 2x2 + 4x2y = 0 Solving -2xy2 + 2x2 + 4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1y2 + x + 2xy) = 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 '(-1y2 + x + 2xy)' equal to zero and attempt to solve: Simplifying -1y2 + x + 2xy = 0 Reorder the terms: x + 2xy + -1y2 = 0 Solving x + 2xy + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. x + 2xy + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 x + 2xy + 0 = 0 + y2 x + 2xy = 0 + y2 Remove the zero: x + 2xy = y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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