b+b^2+51=100+b

Solution for b+b^2+51=100+b equation:

Simplifying
b + b2 + 51 = 100 + b

Reorder the terms:
51 + b + b2 = 100 + b

Add '-1b' to each side of the equation.
51 + b + -1b + b2 = 100 + b + -1b

Combine like terms: b + -1b = 0
51 + 0 + b2 = 100 + b + -1b
51 + b2 = 100 + b + -1b

Combine like terms: b + -1b = 0
51 + b2 = 100 + 0
51 + b2 = 100

Solving
51 + b2 = 100

Solving for variable 'b'.

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

Add '-51' to each side of the equation.
51 + -51 + b2 = 100 + -51

Combine like terms: 51 + -51 = 0
0 + b2 = 100 + -51
b2 = 100 + -51

Combine like terms: 100 + -51 = 49
b2 = 49

Simplifying
b2 = 49

Take the square root of each side:
b = {-7, 7}