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Simplifying 2x2y + (x2y + -2xy2) = 0 Reorder the terms: 2x2y + (-2xy2 + x2y) = 0 Remove parenthesis around (-2xy2 + x2y) 2x2y + -2xy2 + x2y = 0 Reorder the terms: -2xy2 + 2x2y + x2y = 0 Combine like terms: 2x2y + x2y = 3x2y -2xy2 + 3x2y = 0 Solving -2xy2 + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-2y + 3x) = 0Subproblem 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 '(-2y + 3x)' equal to zero and attempt to solve: Simplifying -2y + 3x = 0 Reorder the terms: 3x + -2y = 0 Solving 3x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 0 + 2y 3x = 0 + 2y Remove the zero: 3x = 2y Divide each side by '3'. x = 0.6666666667y Simplifying x = 0.6666666667ySolution
x = {0.6666666667y}
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