6f^2-9f=0

Solution for 6f^2-9f=0 equation:

Simplifying
6f2 + -9f = 0

Reorder the terms:
-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}