(a-b)*(b-c)*(c-a)=equation

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Solution for (a-b)*(b-c)*(c-a)=equation equation: 


Simplifying
(a + -1b)(b + -1c)(c + -1a) = equation

Reorder the terms:
(a + -1b)(b + -1c)(-1a + c) = equation

Multiply (a + -1b) * (b + -1c)
(a(b + -1c) + -1b * (b + -1c))(-1a + c) = equation
((b * a + -1c * a) + -1b * (b + -1c))(-1a + c) = equation
((ab + -1ac) + -1b * (b + -1c))(-1a + c) = equation
(ab + -1ac + (b * -1b + -1c * -1b))(-1a + c) = equation

Reorder the terms:
(ab + -1ac + (1bc + -1b2))(-1a + c) = equation
(ab + -1ac + (1bc + -1b2))(-1a + c) = equation
(ab + -1ac + 1bc + -1b2)(-1a + c) = equation

Multiply (ab + -1ac + 1bc + -1b2) * (-1a + c)
(ab(-1a + c) + -1ac * (-1a + c) + 1bc * (-1a + c) + -1b2 * (-1a + c)) = equation
((-1a * ab + c * ab) + -1ac * (-1a + c) + 1bc * (-1a + c) + -1b2 * (-1a + c)) = equation

Reorder the terms:
((abc + -1a2b) + -1ac * (-1a + c) + 1bc * (-1a + c) + -1b2 * (-1a + c)) = equation
((abc + -1a2b) + -1ac * (-1a + c) + 1bc * (-1a + c) + -1b2 * (-1a + c)) = equation
(abc + -1a2b + (-1a * -1ac + c * -1ac) + 1bc * (-1a + c) + -1b2 * (-1a + c)) = equation

Reorder the terms:
(abc + -1a2b + (-1ac2 + 1a2c) + 1bc * (-1a + c) + -1b2 * (-1a + c)) = equation
(abc + -1a2b + (-1ac2 + 1a2c) + 1bc * (-1a + c) + -1b2 * (-1a + c)) = equation
(abc + -1a2b + -1ac2 + 1a2c + (-1a * 1bc + c * 1bc) + -1b2 * (-1a + c)) = equation
(abc + -1a2b + -1ac2 + 1a2c + (-1abc + 1bc2) + -1b2 * (-1a + c)) = equation
(abc + -1a2b + -1ac2 + 1a2c + -1abc + 1bc2 + (-1a * -1b2 + c * -1b2)) = equation
(abc + -1a2b + -1ac2 + 1a2c + -1abc + 1bc2 + (1ab2 + -1b2c)) = equation

Reorder the terms:
(abc + -1abc + 1ab2 + -1ac2 + -1a2b + 1a2c + 1bc2 + -1b2c) = equation

Combine like terms: abc + -1abc = 0
(0 + 1ab2 + -1ac2 + -1a2b + 1a2c + 1bc2 + -1b2c) = equation
(1ab2 + -1ac2 + -1a2b + 1a2c + 1bc2 + -1b2c) = equation

Solving
1ab2 + -1ac2 + -1a2b + 1a2c + 1bc2 + -1b2c = aeinoqtu

Solving for variable 'a'.

Reorder the terms:
1ab2 + -1ac2 + -1aeinoqtu + -1a2b + 1a2c + 1bc2 + -1b2c = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
1ab2 + -1ac2 + -1aeinoqtu + -1a2b + 1a2c + 1bc2 + -1b2c = 0

The solution to this equation could not be determined.

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