f^2+14=3f^2

Solution for f^2+14=3f^2 equation:

Simplifying
f2 + 14 = 3f2

Reorder the terms:
14 + f2 = 3f2

Solving
14 + f2 = 3f2

Solving for variable 'f'.

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

Add '-3f2' to each side of the equation.
14 + f2 + -3f2 = 3f2 + -3f2

Combine like terms: f2 + -3f2 = -2f2
14 + -2f2 = 3f2 + -3f2

Combine like terms: 3f2 + -3f2 = 0
14 + -2f2 = 0

Add '-14' to each side of the equation.
14 + -14 + -2f2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2f2 = 0 + -14
-2f2 = 0 + -14

Combine like terms: 0 + -14 = -14
-2f2 = -14

Divide each side by '-2'.
f2 = 7

Simplifying
f2 = 7

Take the square root of each side:
f = {-2.645751311, 2.645751311}