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Simplifying (x2 + y2) * y + xy = 0 Reorder the terms for easier multiplication: y(x2 + y2) + xy = 0 (x2 * y + y2 * y) + xy = 0 (x2y + y3) + xy = 0 Reorder the terms: xy + x2y + y3 = 0 Solving xy + x2y + y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(x + x2 + y2) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(x + x2 + y2)' equal to zero and attempt to solve: Simplifying x + x2 + y2 = 0 Solving x + x2 + y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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