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Simplifying 2x2y + -3xy2 + (-3x2y) + 2xy2 = 0 Reorder the terms: -3xy2 + 2xy2 + 2x2y + (-3x2y) = 0 Combine like terms: -3xy2 + 2xy2 = -1xy2 -1xy2 + 2x2y + (-3x2y) = 0 Combine like terms: 2x2y + (-3x2y) = -1x2y -1xy2 + -1x2y = 0 Solving -1xy2 + -1x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1xy'. -1xy(y + x) = 0 Ignore the factor -1.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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