x^2+x+1=x^2+ax+b

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Solution for x^2+x+1=x^2+ax+b equation:


Simplifying
x2 + x + 1 = x2 + ax + b

Reorder the terms:
1 + x + x2 = x2 + ax + b

Reorder the terms:
1 + x + x2 = ax + b + x2

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

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

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

Solving
1 + x = ax + b

Solving for variable 'x'.

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

Add '-1ax' to each side of the equation.
1 + -1ax + x = ax + -1ax + b

Combine like terms: ax + -1ax = 0
1 + -1ax + x = 0 + b
1 + -1ax + x = b

Add '-1' to each side of the equation.
1 + -1ax + -1 + x = -1 + b

Reorder the terms:
1 + -1 + -1ax + x = -1 + b

Combine like terms: 1 + -1 = 0
0 + -1ax + x = -1 + b
-1ax + x = -1 + b

Reorder the terms:
1 + -1ax + -1b + x = -1 + b + 1 + -1b

Reorder the terms:
1 + -1ax + -1b + x = -1 + 1 + b + -1b

Combine like terms: -1 + 1 = 0
1 + -1ax + -1b + x = 0 + b + -1b
1 + -1ax + -1b + x = b + -1b

Combine like terms: b + -1b = 0
1 + -1ax + -1b + x = 0

The solution to this equation could not be determined.

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