4b^2-10=222

Solution for 4b^2-10=222 equation:

Simplifying
4b2 + -10 = 222

Reorder the terms:
-10 + 4b2 = 222

Solving
-10 + 4b2 = 222

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + 4b2 = 222 + 10

Combine like terms: -10 + 10 = 0
0 + 4b2 = 222 + 10
4b2 = 222 + 10

Combine like terms: 222 + 10 = 232
4b2 = 232

Divide each side by '4'.
b2 = 58

Simplifying
b2 = 58

Take the square root of each side:
b = {-7.615773106, 7.615773106}