a^2(x-a)+b^2(x-b)=abx

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Solution for a^2(x-a)+b^2(x-b)=abx equation:


Simplifying
a2(x + -1a) + b2(x + -1b) = abx

Reorder the terms:
a2(-1a + x) + b2(x + -1b) = abx
(-1a * a2 + x * a2) + b2(x + -1b) = abx

Reorder the terms:
(a2x + -1a3) + b2(x + -1b) = abx
(a2x + -1a3) + b2(x + -1b) = abx

Reorder the terms:
a2x + -1a3 + b2(-1b + x) = abx
a2x + -1a3 + (-1b * b2 + x * b2) = abx

Reorder the terms:
a2x + -1a3 + (b2x + -1b3) = abx
a2x + -1a3 + (b2x + -1b3) = abx

Solving
a2x + -1a3 + b2x + -1b3 = abx

Solving for variable 'a'.

Reorder the terms:
-1abx + a2x + -1a3 + b2x + -1b3 = abx + -1abx

Combine like terms: abx + -1abx = 0
-1abx + a2x + -1a3 + b2x + -1b3 = 0

The solution to this equation could not be determined.

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