16v^2+1=37

Solution for 16v^2+1=37 equation:

Simplifying
16v2 + 1 = 37

Reorder the terms:
1 + 16v2 = 37

Solving
1 + 16v2 = 37

Solving for variable 'v'.

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

Add '-1' to each side of the equation.
1 + -1 + 16v2 = 37 + -1

Combine like terms: 1 + -1 = 0
0 + 16v2 = 37 + -1
16v2 = 37 + -1

Combine like terms: 37 + -1 = 36
16v2 = 36

Divide each side by '16'.
v2 = 2.25

Simplifying
v2 = 2.25

Take the square root of each side:
v = {-1.5, 1.5}