2+b(4b)=22

Solution for 2+b(4b)=22 equation:

Simplifying
2 + b(4b) = 22

Remove parenthesis around (4b)
2 + b * 4b = 22

Reorder the terms for easier multiplication:
2 + 4b * b = 22

Multiply b * b
2 + 4b2 = 22

Solving
2 + 4b2 = 22

Solving for variable 'b'.

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

Add '-2' to each side of the equation.
2 + -2 + 4b2 = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 4b2 = 22 + -2
4b2 = 22 + -2

Combine like terms: 22 + -2 = 20
4b2 = 20

Divide each side by '4'.
b2 = 5

Simplifying
b2 = 5

Take the square root of each side:
b = {-2.236067978, 2.236067978}