A^2-ax+b^2=bx-c

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Solution for A^2-ax+b^2=bx-c equation:


Simplifying
A2 + -1ax + b2 = bx + -1c

Solving
A2 + -1ax + b2 = bx + -1c

Solving for variable 'A'.

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

Add 'ax' to each side of the equation.
A2 + -1ax + ax + b2 = bx + ax + -1c

Combine like terms: -1ax + ax = 0
A2 + 0 + b2 = bx + ax + -1c
A2 + b2 = bx + ax + -1c

Reorder the terms:
A2 + b2 = ax + bx + -1c

Add '-1b2' to each side of the equation.
A2 + b2 + -1b2 = ax + bx + -1b2 + -1c

Combine like terms: b2 + -1b2 = 0
A2 + 0 = ax + bx + -1b2 + -1c
A2 = ax + bx + -1b2 + -1c

Simplifying
A2 = ax + bx + -1b2 + -1c

Reorder the terms:
A2 + -1ax + -1bx + b2 + c = ax + -1ax + bx + -1bx + -1b2 + b2 + -1c + c

Combine like terms: ax + -1ax = 0
A2 + -1ax + -1bx + b2 + c = 0 + bx + -1bx + -1b2 + b2 + -1c + c
A2 + -1ax + -1bx + b2 + c = bx + -1bx + -1b2 + b2 + -1c + c

Combine like terms: bx + -1bx = 0
A2 + -1ax + -1bx + b2 + c = 0 + -1b2 + b2 + -1c + c
A2 + -1ax + -1bx + b2 + c = -1b2 + b2 + -1c + c

Combine like terms: -1b2 + b2 = 0
A2 + -1ax + -1bx + b2 + c = 0 + -1c + c
A2 + -1ax + -1bx + b2 + c = -1c + c

Combine like terms: -1c + c = 0
A2 + -1ax + -1bx + b2 + c = 0

The solution to this equation could not be determined.

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