(a-x)*(b-x)*(a-b)=0

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Solution for (a-x)*(b-x)*(a-b)=0 equation: 


Simplifying
(a + -1x)(b + -1x)(a + -1b) = 0

Multiply (a + -1x) * (b + -1x)
(a(b + -1x) + -1x * (b + -1x))(a + -1b) = 0
((b * a + -1x * a) + -1x * (b + -1x))(a + -1b) = 0
((ab + -1ax) + -1x * (b + -1x))(a + -1b) = 0
(ab + -1ax + (b * -1x + -1x * -1x))(a + -1b) = 0
(ab + -1ax + (-1bx + 1x2))(a + -1b) = 0
(ab + -1ax + -1bx + 1x2)(a + -1b) = 0

Multiply (ab + -1ax + -1bx + 1x2) * (a + -1b)
(ab(a + -1b) + -1ax * (a + -1b) + -1bx * (a + -1b) + 1x2 * (a + -1b)) = 0
((a * ab + -1b * ab) + -1ax * (a + -1b) + -1bx * (a + -1b) + 1x2 * (a + -1b)) = 0

Reorder the terms:
((-1ab2 + a2b) + -1ax * (a + -1b) + -1bx * (a + -1b) + 1x2 * (a + -1b)) = 0
((-1ab2 + a2b) + -1ax * (a + -1b) + -1bx * (a + -1b) + 1x2 * (a + -1b)) = 0
(-1ab2 + a2b + (a * -1ax + -1b * -1ax) + -1bx * (a + -1b) + 1x2 * (a + -1b)) = 0

Reorder the terms:
(-1ab2 + a2b + (1abx + -1a2x) + -1bx * (a + -1b) + 1x2 * (a + -1b)) = 0
(-1ab2 + a2b + (1abx + -1a2x) + -1bx * (a + -1b) + 1x2 * (a + -1b)) = 0
(-1ab2 + a2b + 1abx + -1a2x + (a * -1bx + -1b * -1bx) + 1x2 * (a + -1b)) = 0
(-1ab2 + a2b + 1abx + -1a2x + (-1abx + 1b2x) + 1x2 * (a + -1b)) = 0
(-1ab2 + a2b + 1abx + -1a2x + -1abx + 1b2x + (a * 1x2 + -1b * 1x2)) = 0
(-1ab2 + a2b + 1abx + -1a2x + -1abx + 1b2x + (1ax2 + -1bx2)) = 0

Reorder the terms:
(1abx + -1abx + -1ab2 + 1ax2 + a2b + -1a2x + -1bx2 + 1b2x) = 0

Combine like terms: 1abx + -1abx = 0
(0 + -1ab2 + 1ax2 + a2b + -1a2x + -1bx2 + 1b2x) = 0
(-1ab2 + 1ax2 + a2b + -1a2x + -1bx2 + 1b2x) = 0

Solving
-1ab2 + 1ax2 + a2b + -1a2x + -1bx2 + 1b2x = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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