4x+6y=4y+2xy

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Solution for 4x+6y=4y+2xy equation:


Simplifying
4x + 6y = 4y + 2xy

Reorder the terms:
4x + 6y = 2xy + 4y

Solving
4x + 6y = 2xy + 4y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2xy' to each side of the equation.
4x + -2xy + 6y = 2xy + -2xy + 4y

Combine like terms: 2xy + -2xy = 0
4x + -2xy + 6y = 0 + 4y
4x + -2xy + 6y = 4y

Add '-6y' to each side of the equation.
4x + -2xy + 6y + -6y = 4y + -6y

Combine like terms: 6y + -6y = 0
4x + -2xy + 0 = 4y + -6y
4x + -2xy = 4y + -6y

Combine like terms: 4y + -6y = -2y
4x + -2xy = -2y

Combine like terms: -2y + 2y = 0
4x + -2xy + 2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2x + -1xy + y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2x + -1xy + y)' equal to zero and attempt to solve: Simplifying 2x + -1xy + y = 0 Solving 2x + -1xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + -1xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + -1xy + 0 = 0 + -1y 2x + -1xy = 0 + -1y Remove the zero: 2x + -1xy = -1y 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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