6f^2-17f+12=0

Solution for 6f^2-17f+12=0 equation:

Simplifying
6f2 + -17f + 12 = 0

Reorder the terms:
12 + -17f + 6f2 = 0

Solving
12 + -17f + 6f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(4 + -3f)(3 + -2f) = 0

Subproblem 1
Set the factor '(4 + -3f)' equal to zero and attempt to solve:

Simplifying
4 + -3f = 0

Solving
4 + -3f = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3f = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3f = 0 + -4
-3f = 0 + -4

Combine like terms: 0 + -4 = -4
-3f = -4

Divide each side by '-3'.
f = 1.333333333

Simplifying
f = 1.333333333
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 = {1.333333333, 1.5}