(3a-b)-bx=a(x-2)(a-b)

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Solution for (3a-b)-bx=a(x-2)(a-b) equation: 


Simplifying
(3a + -1b) + -1bx = a(x + -2)(a + -1b)

Remove parenthesis around (3a + -1b)
3a + -1b + -1bx = a(x + -2)(a + -1b)

Reorder the terms:
3a + -1b + -1bx = a(-2 + x)(a + -1b)

Multiply (-2 + x) * (a + -1b)
3a + -1b + -1bx = a(-2(a + -1b) + x(a + -1b))
3a + -1b + -1bx = a((a * -2 + -1b * -2) + x(a + -1b))
3a + -1b + -1bx = a((-2a + 2b) + x(a + -1b))
3a + -1b + -1bx = a(-2a + 2b + (a * x + -1b * x))
3a + -1b + -1bx = a(-2a + 2b + (ax + -1bx))

Reorder the terms:
3a + -1b + -1bx = a(-2a + ax + 2b + -1bx)
3a + -1b + -1bx = a(-2a + ax + 2b + -1bx)
3a + -1b + -1bx = (-2a * a + ax * a + 2b * a + -1bx * a)

Reorder the terms:
3a + -1b + -1bx = (2ab + -1abx + -2a2 + a2x)
3a + -1b + -1bx = (2ab + -1abx + -2a2 + a2x)

Solving
3a + -1b + -1bx = 2ab + -1abx + -2a2 + a2x

Solving for variable 'a'.

Reorder the terms:
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = 2ab + -1abx + -2a2 + a2x + -2ab + abx + 2a2 + -1a2x

Reorder the terms:
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = 2ab + -2ab + -1abx + abx + -2a2 + 2a2 + a2x + -1a2x

Combine like terms: 2ab + -2ab = 0
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = 0 + -1abx + abx + -2a2 + 2a2 + a2x + -1a2x
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = -1abx + abx + -2a2 + 2a2 + a2x + -1a2x

Combine like terms: -1abx + abx = 0
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = 0 + -2a2 + 2a2 + a2x + -1a2x
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = -2a2 + 2a2 + a2x + -1a2x

Combine like terms: -2a2 + 2a2 = 0
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = 0 + a2x + -1a2x
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = a2x + -1a2x

Combine like terms: a2x + -1a2x = 0
3a + -2ab + abx + 2a2 + -1a2x + -1b + -1bx = 0

The solution to this equation could not be determined.

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