8v^2-35+31=0

Solution for 8v^2-35+31=0 equation:

Simplifying
8v2 + -35 + 31 = 0

Reorder the terms:
-35 + 31 + 8v2 = 0

Combine like terms: -35 + 31 = -4
-4 + 8v2 = 0

Solving
-4 + 8v2 = 0

Solving for variable 'v'.

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

Add '4' to each side of the equation.
-4 + 4 + 8v2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 8v2 = 0 + 4
8v2 = 0 + 4

Combine like terms: 0 + 4 = 4
8v2 = 4

Divide each side by '8'.
v2 = 0.5

Simplifying
v2 = 0.5

Take the square root of each side:
v = {-0.707106781, 0.707106781}