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Simplifying x2 + xy + xy2 = 0 Reorder the terms: xy + xy2 + x2 = 0 Solving xy + xy2 + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(y + y2 + x) = 0Subproblem 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 '(y + y2 + x)' equal to zero and attempt to solve: Simplifying y + y2 + x = 0 Reorder the terms: x + y + y2 = 0 Solving x + y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y + y2 = 0 + -1y Combine like terms: y + -1y = 0 x + 0 + y2 = 0 + -1y x + y2 = 0 + -1y Remove the zero: x + y2 = -1y Add '-1y2' to each side of the equation. x + y2 + -1y2 = -1y + -1y2 Combine like terms: y2 + -1y2 = 0 x + 0 = -1y + -1y2 x = -1y + -1y2 Simplifying x = -1y + -1y2Solution
x = {0, -1y + -1y2}
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