3f(2f+3)=

Solution for 3f(2f+3)= equation:

Simplifying
3f(2f + 3) = 0

Reorder the terms:
3f(3 + 2f) = 0
(3 * 3f + 2f * 3f) = 0
(9f + 6f2) = 0

Solving
9f + 6f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '3f'.
3f(3 + 2f) = 0

Ignore the factor 3.
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 '(3 + 2f)' equal to zero and attempt to solve:

Simplifying
3 + 2f = 0

Solving
3 + 2f = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2f = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2f = 0 + -3
2f = 0 + -3

Combine like terms: 0 + -3 = -3
2f = -3

Divide each side by '2'.
f = -1.5

Simplifying
f = -1.5
Solution
f = {0, -1.5}