(a-b)(ax+bx)=a+b

Solution for (a-b)(ax+bx)=a+b equation:

Simplifying
(a + -1b)(ax + bx) = a + b

Multiply (a + -1b) * (ax + bx)
(a(ax + bx) + -1b * (ax + bx)) = a + b
((ax * a + bx * a) + -1b * (ax + bx)) = a + b

Reorder the terms:
((abx + a2x) + -1b * (ax + bx)) = a + b
((abx + a2x) + -1b * (ax + bx)) = a + b
(abx + a2x + (ax * -1b + bx * -1b)) = a + b
(abx + a2x + (-1abx + -1b2x)) = a + b

Reorder the terms:
(abx + -1abx + a2x + -1b2x) = a + b

Combine like terms: abx + -1abx = 0
(0 + a2x + -1b2x) = a + b
(a2x + -1b2x) = a + b

Solving
a2x + -1b2x = a + b

Solving for variable 'a'.

Reorder the terms:
-1a + a2x + -1b + -1b2x = a + b + -1a + -1b

Reorder the terms:
-1a + a2x + -1b + -1b2x = a + -1a + b + -1b

Combine like terms: a + -1a = 0
-1a + a2x + -1b + -1b2x = 0 + b + -1b
-1a + a2x + -1b + -1b2x = b + -1b

Combine like terms: b + -1b = 0
-1a + a2x + -1b + -1b2x = 0

The solution to this equation could not be determined.