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Simplifying 0 = 2xy(x + y) 0 = (x * 2xy + y * 2xy) Reorder the terms: 0 = (2xy2 + 2x2y) 0 = (2xy2 + 2x2y) Solving 0 = 2xy2 + 2x2y Solving for variable 'x'. Remove the zero: -2xy2 + -2x2y = 2xy2 + 2x2y + -2xy2 + -2x2y Reorder the terms: -2xy2 + -2x2y = 2xy2 + -2xy2 + 2x2y + -2x2y Combine like terms: 2xy2 + -2xy2 = 0 -2xy2 + -2x2y = 0 + 2x2y + -2x2y -2xy2 + -2x2y = 2x2y + -2x2y Combine like terms: 2x2y + -2x2y = 0 -2xy2 + -2x2y = 0 Factor out the Greatest Common Factor (GCF), '-2xy'. -2xy(y + x) = 0 Ignore the factor -2.Subproblem 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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: x + y = 0 Solving x + y = 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 = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {-1y}
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