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Simplifying 2yx2 + -5xy3 + x2y = 0 Reorder the terms: -5xy3 + 2x2y + x2y = 0 Combine like terms: 2x2y + x2y = 3x2y -5xy3 + 3x2y = 0 Solving -5xy3 + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-5y2 + 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 '(-5y2 + 3x)' equal to zero and attempt to solve: Simplifying -5y2 + 3x = 0 Reorder the terms: 3x + -5y2 = 0 Solving 3x + -5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5y2' to each side of the equation. 3x + -5y2 + 5y2 = 0 + 5y2 Combine like terms: -5y2 + 5y2 = 0 3x + 0 = 0 + 5y2 3x = 0 + 5y2 Remove the zero: 3x = 5y2 Divide each side by '3'. x = 1.666666667y2 Simplifying x = 1.666666667y2Solution
x = {1.666666667y2}
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