V^2-3=27-12V^2

Solution for V^2-3=27-12V^2 equation:

Simplifying
V2 + -3 = 27 + -12V2

Reorder the terms:
-3 + V2 = 27 + -12V2

Solving
-3 + V2 = 27 + -12V2

Solving for variable 'V'.

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

Add '12V2' to each side of the equation.
-3 + V2 + 12V2 = 27 + -12V2 + 12V2

Combine like terms: V2 + 12V2 = 13V2
-3 + 13V2 = 27 + -12V2 + 12V2

Combine like terms: -12V2 + 12V2 = 0
-3 + 13V2 = 27 + 0
-3 + 13V2 = 27

Add '3' to each side of the equation.
-3 + 3 + 13V2 = 27 + 3

Combine like terms: -3 + 3 = 0
0 + 13V2 = 27 + 3
13V2 = 27 + 3

Combine like terms: 27 + 3 = 30
13V2 = 30

Divide each side by '13'.
V2 = 2.307692308

Simplifying
V2 = 2.307692308

Take the square root of each side:
V = {-1.519109051, 1.519109051}