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Simplifying -5xy + 6y + 3xy2 = 0 Reorder the terms: -5xy + 3xy2 + 6y = 0 Solving -5xy + 3xy2 + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -5xy + 3xy2 + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -5xy + 3xy2 + 0 = 0 + -6y -5xy + 3xy2 = 0 + -6y Remove the zero: -5xy + 3xy2 = -6y Combine like terms: -6y + 6y = 0 -5xy + 3xy2 + 6y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-5x + 3xy + 6) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-5x + 3xy + 6)' equal to zero and attempt to solve: Simplifying -5x + 3xy + 6 = 0 Reorder the terms: 6 + -5x + 3xy = 0 Solving 6 + -5x + 3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -5x + -6 + 3xy = 0 + -6 Reorder the terms: 6 + -6 + -5x + 3xy = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x + 3xy = 0 + -6 -5x + 3xy = 0 + -6 Combine like terms: 0 + -6 = -6 -5x + 3xy = -6 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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