(x-y)y=x+3y

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Solution for (x-y)y=x+3y equation:


Simplifying
(x + -1y) * y = x + 3y

Reorder the terms for easier multiplication:
y(x + -1y) = x + 3y
(x * y + -1y * y) = x + 3y
(xy + -1y2) = x + 3y

Solving
xy + -1y2 = x + 3y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
xy + -1x + -1y2 = x + -1x + 3y

Reorder the terms:
-1x + xy + -1y2 = x + -1x + 3y

Combine like terms: x + -1x = 0
-1x + xy + -1y2 = 0 + 3y
-1x + xy + -1y2 = 3y

Add 'y2' to each side of the equation.
-1x + xy + -1y2 + y2 = 3y + y2

Combine like terms: -1y2 + y2 = 0
-1x + xy + 0 = 3y + y2
-1x + xy = 3y + y2

Reorder the terms:
-1x + xy + -3y + -1y2 = 3y + -3y + y2 + -1y2

Combine like terms: 3y + -3y = 0
-1x + xy + -3y + -1y2 = 0 + y2 + -1y2
-1x + xy + -3y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-1x + xy + -3y + -1y2 = 0

The solution to this equation could not be determined.

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