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Simplifying xy + -3xy2 + 5y2x + -4xy = 0 Reorder the terms: xy + -4xy + -3xy2 + 5xy2 = 0 Combine like terms: xy + -4xy = -3xy -3xy + -3xy2 + 5xy2 = 0 Combine like terms: -3xy2 + 5xy2 = 2xy2 -3xy + 2xy2 = 0 Solving -3xy + 2xy2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-3 + 2y) = 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 '(-3 + 2y)' equal to zero and attempt to solve: Simplifying -3 + 2y = 0 Solving -3 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 0 + 3 2y = 0 + 3 Combine like terms: 0 + 3 = 3 2y = 3 Add '-2y' to each side of the equation. 2y + -2y = 3 + -2y Combine like terms: 2y + -2y = 0 0 = 3 + -2y Simplifying 0 = 3 + -2y 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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