x-a^2=x^2-12x+b

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Solution for x-a^2=x^2-12x+b equation:


Simplifying
x + -1a2 = x2 + -12x + b

Reorder the terms:
-1a2 + x = x2 + -12x + b

Reorder the terms:
-1a2 + x = b + -12x + x2

Solving
-1a2 + x = b + -12x + x2

Solving for variable 'a'.

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

Add '-1x' to each side of the equation.
-1a2 + x + -1x = b + -12x + -1x + x2

Combine like terms: x + -1x = 0
-1a2 + 0 = b + -12x + -1x + x2
-1a2 = b + -12x + -1x + x2

Combine like terms: -12x + -1x = -13x
-1a2 = b + -13x + x2

Divide each side by '-1'.
a2 = -1b + 13x + -1x2

Simplifying
a2 = -1b + 13x + -1x2

Reorder the terms:
a2 + b + -13x + x2 = -1b + b + 13x + -13x + -1x2 + x2

Combine like terms: -1b + b = 0
a2 + b + -13x + x2 = 0 + 13x + -13x + -1x2 + x2
a2 + b + -13x + x2 = 13x + -13x + -1x2 + x2

Combine like terms: 13x + -13x = 0
a2 + b + -13x + x2 = 0 + -1x2 + x2
a2 + b + -13x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
a2 + b + -13x + x2 = 0

The solution to this equation could not be determined.

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