v^2+15=4v^2

Solution for v^2+15=4v^2 equation:

Simplifying
v2 + 15 = 4v2

Reorder the terms:
15 + v2 = 4v2

Solving
15 + v2 = 4v2

Solving for variable 'v'.

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

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

Combine like terms: v2 + -4v2 = -3v2
15 + -3v2 = 4v2 + -4v2

Combine like terms: 4v2 + -4v2 = 0
15 + -3v2 = 0

Add '-15' to each side of the equation.
15 + -15 + -3v2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -3v2 = 0 + -15
-3v2 = 0 + -15

Combine like terms: 0 + -15 = -15
-3v2 = -15

Divide each side by '-3'.
v2 = 5

Simplifying
v2 = 5

Take the square root of each side:
v = {-2.236067978, 2.236067978}