4f(6g+3f)=

Solution for 4f(6g+3f)= equation:

Simplifying
4f(6g + 3f) = 0

Reorder the terms:
4f(3f + 6g) = 0
(3f * 4f + 6g * 4f) = 0

Reorder the terms:
(24fg + 12f2) = 0
(24fg + 12f2) = 0

Solving
24fg + 12f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '12f'.
12f(2g + f) = 0

Ignore the factor 12.
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 + f)' equal to zero and attempt to solve:

Simplifying
2g + f = 0

Reorder the terms:
f + 2g = 0

Solving
f + 2g = 0

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

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

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

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