24=.5(6)v^2

Solution for 24=.5(6)v^2 equation:

Simplifying
24 = 0.5(6) * v2

Multiply 0.5 * 6
24 = 3v2

Solving
24 = 3v2

Solving for variable 'v'.

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

Add '-3v2' to each side of the equation.
24 + -3v2 = 3v2 + -3v2

Combine like terms: 3v2 + -3v2 = 0
24 + -3v2 = 0

Add '-24' to each side of the equation.
24 + -24 + -3v2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -3v2 = 0 + -24
-3v2 = 0 + -24

Combine like terms: 0 + -24 = -24
-3v2 = -24

Divide each side by '-3'.
v2 = 8

Simplifying
v2 = 8

Take the square root of each side:
v = {-2.828427125, 2.828427125}