x-a=a(y-b)

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

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

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

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

Solving
-1a + x = -1ab + ay

Solving for variable 'a'.

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

Add 'ab' to each side of the equation.
-1a + ab + x = -1ab + ab + ay

Combine like terms: -1ab + ab = 0
-1a + ab + x = 0 + ay
-1a + ab + x = ay

Add '-1ay' to each side of the equation.
-1a + ab + -1ay + x = ay + -1ay

Combine like terms: ay + -1ay = 0
-1a + ab + -1ay + x = 0

Add '-1x' to each side of the equation.
-1a + ab + -1ay + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-1a + ab + -1ay + 0 = 0 + -1x
-1a + ab + -1ay = 0 + -1x
Remove the zero:
-1a + ab + -1ay = -1x

Combine like terms: -1x + x = 0
-1a + ab + -1ay + x = 0

The solution to this equation could not be determined.