X(x+y)-y(x+y)=

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


Simplifying
X(x + y) + -1y(x + y) = 0
(x * X + y * X) + -1y(x + y) = 0
(xX + yX) + -1y(x + y) = 0
xX + yX + (x * -1y + y * -1y) = 0
xX + yX + (-1xy + -1y2) = 0

Reorder the terms:
xX + -1xy + yX + -1y2 = 0

Solving
xX + -1xy + yX + -1y2 = 0

Solving for variable 'x'.

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

Add '-1yX' to each side of the equation.
xX + -1xy + yX + -1yX + -1y2 = 0 + -1yX

Combine like terms: yX + -1yX = 0
xX + -1xy + 0 + -1y2 = 0 + -1yX
xX + -1xy + -1y2 = 0 + -1yX
Remove the zero:
xX + -1xy + -1y2 = -1yX

Add 'y2' to each side of the equation.
xX + -1xy + -1y2 + y2 = -1yX + y2

Combine like terms: -1y2 + y2 = 0
xX + -1xy + 0 = -1yX + y2
xX + -1xy = -1yX + y2

Reorder the terms:
xX + -1xy + yX + -1y2 = -1yX + yX + y2 + -1y2

Combine like terms: -1yX + yX = 0
xX + -1xy + yX + -1y2 = 0 + y2 + -1y2
xX + -1xy + yX + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
xX + -1xy + yX + -1y2 = 0

The solution to this equation could not be determined.

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