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Simplifying 5xy + 2y2x + -2xy + 3xy2 = 0 Reorder the terms: 5xy + -2xy + 2xy2 + 3xy2 = 0 Combine like terms: 5xy + -2xy = 3xy 3xy + 2xy2 + 3xy2 = 0 Combine like terms: 2xy2 + 3xy2 = 5xy2 3xy + 5xy2 = 0 Solving 3xy + 5xy2 = 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 + 5y) = 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 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 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 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Add '-5y' to each side of the equation. 5y + -5y = -3 + -5y Combine like terms: 5y + -5y = 0 0 = -3 + -5y Simplifying 0 = -3 + -5y 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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