6v^2-4=1+3v^2

Solution for 6v^2-4=1+3v^2 equation:

Simplifying
6v2 + -4 = 1 + 3v2

Reorder the terms:
-4 + 6v2 = 1 + 3v2

Solving
-4 + 6v2 = 1 + 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.
-4 + 6v2 + -3v2 = 1 + 3v2 + -3v2

Combine like terms: 6v2 + -3v2 = 3v2
-4 + 3v2 = 1 + 3v2 + -3v2

Combine like terms: 3v2 + -3v2 = 0
-4 + 3v2 = 1 + 0
-4 + 3v2 = 1

Add '4' to each side of the equation.
-4 + 4 + 3v2 = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 3v2 = 1 + 4
3v2 = 1 + 4

Combine like terms: 1 + 4 = 5
3v2 = 5

Divide each side by '3'.
v2 = 1.666666667

Simplifying
v2 = 1.666666667

Take the square root of each side:
v = {-1.290994449, 1.290994449}