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Simplifying 3xy + 4x + 5yx + 6y + -2xy = 0 Reorder the terms: 4x + 3xy + 5xy + -2xy + 6y = 0 Combine like terms: 3xy + 5xy = 8xy 4x + 8xy + -2xy + 6y = 0 Combine like terms: 8xy + -2xy = 6xy 4x + 6xy + 6y = 0 Solving 4x + 6xy + 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. 4x + 6xy + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 4x + 6xy + 0 = 0 + -6y 4x + 6xy = 0 + -6y Remove the zero: 4x + 6xy = -6y Combine like terms: -6y + 6y = 0 4x + 6xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2x + 3xy + 3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2x + 3xy + 3y)' equal to zero and attempt to solve: Simplifying 2x + 3xy + 3y = 0 Solving 2x + 3xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3xy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 3xy + 0 = 0 + -3y 2x + 3xy = 0 + -3y Remove the zero: 2x + 3xy = -3y 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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