6f(4f+21)=0

Solution for 6f(4f+21)=0 equation:

Simplifying
6f(4f + 21) = 0

Reorder the terms:
6f(21 + 4f) = 0
(21 * 6f + 4f * 6f) = 0
(126f + 24f2) = 0

Solving
126f + 24f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '6f'.
6f(21 + 4f) = 0

Ignore the factor 6.
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 '(21 + 4f)' equal to zero and attempt to solve:

Simplifying
21 + 4f = 0

Solving
21 + 4f = 0

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

Add '-21' to each side of the equation.
21 + -21 + 4f = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 4f = 0 + -21
4f = 0 + -21

Combine like terms: 0 + -21 = -21
4f = -21

Divide each side by '4'.
f = -5.25

Simplifying
f = -5.25
Solution
f = {0, -5.25}