11.76=v^2+.5v^2

Solution for 11.76=v^2+.5v^2 equation:

Simplifying
11.76 = v2 + 0.5v2

Combine like terms: v2 + 0.5v2 = 1.5v2
11.76 = 1.5v2

Solving
11.76 = 1.5v2

Solving for variable 'v'.

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

Add '-1.5v2' to each side of the equation.
11.76 + -1.5v2 = 1.5v2 + -1.5v2

Combine like terms: 1.5v2 + -1.5v2 = 0.0
11.76 + -1.5v2 = 0.0

Add '-11.76' to each side of the equation.
11.76 + -11.76 + -1.5v2 = 0.0 + -11.76

Combine like terms: 11.76 + -11.76 = 0.00
0.00 + -1.5v2 = 0.0 + -11.76
-1.5v2 = 0.0 + -11.76

Combine like terms: 0.0 + -11.76 = -11.76
-1.5v2 = -11.76

Divide each side by '-1.5'.
v2 = 7.84

Simplifying
v2 = 7.84

Take the square root of each side:
v = {-2.8, 2.8}