4v^2+20-8v^2=0

Solution for 4v^2+20-8v^2=0 equation:

Simplifying
4v2 + 20 + -8v2 = 0

Reorder the terms:
20 + 4v2 + -8v2 = 0

Combine like terms: 4v2 + -8v2 = -4v2
20 + -4v2 = 0

Solving
20 + -4v2 = 0

Solving for variable 'v'.

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

Add '-20' to each side of the equation.
20 + -20 + -4v2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4v2 = 0 + -20
-4v2 = 0 + -20

Combine like terms: 0 + -20 = -20
-4v2 = -20

Divide each side by '-4'.
v2 = 5

Simplifying
v2 = 5

Take the square root of each side:
v = {-2.236067978, 2.236067978}