(x-b)b=(x-a)a

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


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

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

Reorder the terms for easier multiplication:
b(-1b + x) = (x + -1a) * a
(-1b * b + x * b) = (x + -1a) * a

Reorder the terms:
(bx + -1b2) = (x + -1a) * a
(bx + -1b2) = (x + -1a) * a

Reorder the terms:
bx + -1b2 = (-1a + x) * a

Reorder the terms for easier multiplication:
bx + -1b2 = a(-1a + x)
bx + -1b2 = (-1a * a + x * a)

Reorder the terms:
bx + -1b2 = (ax + -1a2)
bx + -1b2 = (ax + -1a2)

Solving
bx + -1b2 = ax + -1a2

Solving for variable 'b'.

Reorder the terms:
-1ax + a2 + bx + -1b2 = ax + -1a2 + -1ax + a2

Reorder the terms:
-1ax + a2 + bx + -1b2 = ax + -1ax + -1a2 + a2

Combine like terms: ax + -1ax = 0
-1ax + a2 + bx + -1b2 = 0 + -1a2 + a2
-1ax + a2 + bx + -1b2 = -1a2 + a2

Combine like terms: -1a2 + a2 = 0
-1ax + a2 + bx + -1b2 = 0

The solution to this equation could not be determined.

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