4fg=2f^2

Solution for 4fg=2f^2 equation:

Simplifying
4fg = 2f2

Solving
4fg = 2f2

Solving for variable 'f'.

Combine like terms: 2f2 + -2f2 = 0
4fg + -2f2 = 0

Factor out the Greatest Common Factor (GCF), '2f'.
2f(2g + -1f) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0
Subproblem 2
Set the factor '(2g + -1f)' equal to zero and attempt to solve:

Simplifying
2g + -1f = 0

Reorder the terms:
-1f + 2g = 0

Solving
-1f + 2g = 0

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

Add '-2g' to each side of the equation.
-1f + 2g + -2g = 0 + -2g

Combine like terms: 2g + -2g = 0
-1f + 0 = 0 + -2g
-1f = 0 + -2g
Remove the zero:
-1f = -2g

Divide each side by '-1'.
f = 2g

Simplifying
f = 2g
Solution
f = {0, 2g}