96=.5*4v^2

Solution for 96=.5*4v^2 equation:

Simplifying
96 = 0.5 * 4v2

Multiply 0.5 * 4
96 = 2v2

Solving
96 = 2v2

Solving for variable 'v'.

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

Add '-2v2' to each side of the equation.
96 + -2v2 = 2v2 + -2v2

Combine like terms: 2v2 + -2v2 = 0
96 + -2v2 = 0

Add '-96' to each side of the equation.
96 + -96 + -2v2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -2v2 = 0 + -96
-2v2 = 0 + -96

Combine like terms: 0 + -96 = -96
-2v2 = -96

Divide each side by '-2'.
v2 = 48

Simplifying
v2 = 48

Take the square root of each side:
v = {-6.92820323, 6.92820323}