x^2-ab=(a-y)(b-x)

Solution for x^2-ab=(a-y)(b-x) equation:

Simplifying
x2 + -1ab = (a + -1y)(b + -1x)

Reorder the terms:
-1ab + x2 = (a + -1y)(b + -1x)

Multiply (a + -1y) * (b + -1x)
-1ab + x2 = (a(b + -1x) + -1y * (b + -1x))
-1ab + x2 = ((b * a + -1x * a) + -1y * (b + -1x))
-1ab + x2 = ((ab + -1ax) + -1y * (b + -1x))
-1ab + x2 = (ab + -1ax + (b * -1y + -1x * -1y))
-1ab + x2 = (ab + -1ax + (-1by + 1xy))
-1ab + x2 = (ab + -1ax + -1by + 1xy)

Solving
-1ab + x2 = ab + -1ax + -1by + 1xy

Solving for variable 'a'.

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

Add '-1ab' to each side of the equation.
-1ab + -1ab + x2 = ab + -1ax + -1by + -1ab + 1xy

Combine like terms: -1ab + -1ab = -2ab
-2ab + x2 = ab + -1ax + -1by + -1ab + 1xy

Reorder the terms:
-2ab + x2 = ab + -1ab + -1ax + -1by + 1xy

Combine like terms: ab + -1ab = 0
-2ab + x2 = 0 + -1ax + -1by + 1xy
-2ab + x2 = -1ax + -1by + 1xy

Add 'ax' to each side of the equation.
-2ab + ax + x2 = -1ax + -1by + ax + 1xy

Reorder the terms:
-2ab + ax + x2 = -1ax + ax + -1by + 1xy

Combine like terms: -1ax + ax = 0
-2ab + ax + x2 = 0 + -1by + 1xy
-2ab + ax + x2 = -1by + 1xy

Add '-1x2' to each side of the equation.
-2ab + ax + x2 + -1x2 = -1by + 1xy + -1x2

Combine like terms: x2 + -1x2 = 0
-2ab + ax + 0 = -1by + 1xy + -1x2
-2ab + ax = -1by + 1xy + -1x2

Reorder the terms:
-2ab + ax + by + -1xy + x2 = -1by + by + 1xy + -1xy + -1x2 + x2

Combine like terms: -1by + by = 0
-2ab + ax + by + -1xy + x2 = 0 + 1xy + -1xy + -1x2 + x2
-2ab + ax + by + -1xy + x2 = 1xy + -1xy + -1x2 + x2

Combine like terms: 1xy + -1xy = 0
-2ab + ax + by + -1xy + x2 = 0 + -1x2 + x2
-2ab + ax + by + -1xy + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2ab + ax + by + -1xy + x2 = 0

The solution to this equation could not be determined.