5b^2+6=851

Solution for 5b^2+6=851 equation:

Simplifying
5b2 + 6 = 851

Reorder the terms:
6 + 5b2 = 851

Solving
6 + 5b2 = 851

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + -6 + 5b2 = 851 + -6

Combine like terms: 6 + -6 = 0
0 + 5b2 = 851 + -6
5b2 = 851 + -6

Combine like terms: 851 + -6 = 845
5b2 = 845

Divide each side by '5'.
b2 = 169

Simplifying
b2 = 169

Take the square root of each side:
b = {-13, 13}