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

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


Simplifying
x2 + -1b2 = a(2x + -1a)

Reorder the terms:
-1b2 + x2 = a(2x + -1a)

Reorder the terms:
-1b2 + x2 = a(-1a + 2x)
-1b2 + x2 = (-1a * a + 2x * a)

Reorder the terms:
-1b2 + x2 = (2ax + -1a2)
-1b2 + x2 = (2ax + -1a2)

Solving
-1b2 + x2 = 2ax + -1a2

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
-1b2 + x2 + -1x2 = 2ax + -1a2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1b2 + 0 = 2ax + -1a2 + -1x2
-1b2 = 2ax + -1a2 + -1x2

Divide each side by '-1'.
b2 = -2ax + a2 + x2

Simplifying
b2 = -2ax + a2 + x2

Reorder the terms:
2ax + -1a2 + b2 + -1x2 = -2ax + a2 + x2 + 2ax + -1a2 + -1x2

Reorder the terms:
2ax + -1a2 + b2 + -1x2 = -2ax + 2ax + a2 + -1a2 + x2 + -1x2

Combine like terms: -2ax + 2ax = 0
2ax + -1a2 + b2 + -1x2 = 0 + a2 + -1a2 + x2 + -1x2
2ax + -1a2 + b2 + -1x2 = a2 + -1a2 + x2 + -1x2

Combine like terms: a2 + -1a2 = 0
2ax + -1a2 + b2 + -1x2 = 0 + x2 + -1x2
2ax + -1a2 + b2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2ax + -1a2 + b2 + -1x2 = 0

The solution to this equation could not be determined.

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