a(x+b)=b(x+b)

Solution for a(x+b)=b(x+b) equation:

Simplifying
a(x + b) = b(x + b)

Reorder the terms:
a(b + x) = b(x + b)
(b * a + x * a) = b(x + b)
(ab + ax) = b(x + b)

Reorder the terms:
ab + ax = b(b + x)
ab + ax = (b * b + x * b)

Reorder the terms:
ab + ax = (bx + b2)
ab + ax = (bx + b2)

Solving
ab + ax = bx + b2

Solving for variable 'a'.

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

Reorder the terms:
ab + ax + -1bx + -1b2 = bx + -1bx + b2 + -1b2

Combine like terms: bx + -1bx = 0
ab + ax + -1bx + -1b2 = 0 + b2 + -1b2
ab + ax + -1bx + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
ab + ax + -1bx + -1b2 = 0

The solution to this equation could not be determined.