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

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


Simplifying
X(y + -1x) = y(x + -1y)

Reorder the terms:
X(-1x + y) = y(x + -1y)
(-1x * X + y * X) = y(x + -1y)
(-1xX + yX) = y(x + -1y)
-1xX + yX = (x * y + -1y * y)
-1xX + yX = (xy + -1y2)

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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