2b^2+1=6

Solution for 2b^2+1=6 equation:

Simplifying
2b2 + 1 = 6

Reorder the terms:
1 + 2b2 = 6

Solving
1 + 2b2 = 6

Solving for variable 'b'.

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

Add '-1' to each side of the equation.
1 + -1 + 2b2 = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 2b2 = 6 + -1
2b2 = 6 + -1

Combine like terms: 6 + -1 = 5
2b2 = 5

Divide each side by '2'.
b2 = 2.5

Simplifying
b2 = 2.5

Take the square root of each side:
b = {-1.58113883, 1.58113883}