3f^2-14f+8=0

Solution for 3f^2-14f+8=0 equation:

Simplifying
3f2 + -14f + 8 = 0

Reorder the terms:
8 + -14f + 3f2 = 0

Solving
8 + -14f + 3f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(2 + -3f)(4 + -1f) = 0

Subproblem 1
Set the factor '(2 + -3f)' equal to zero and attempt to solve:

Simplifying
2 + -3f = 0

Solving
2 + -3f = 0

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

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

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

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

Divide each side by '-3'.
f = 0.6666666667

Simplifying
f = 0.6666666667
Subproblem 2
Set the factor '(4 + -1f)' equal to zero and attempt to solve:

Simplifying
4 + -1f = 0

Solving
4 + -1f = 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 + -1f = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1f = 0 + -4
-1f = 0 + -4

Combine like terms: 0 + -4 = -4
-1f = -4

Divide each side by '-1'.
f = 4

Simplifying
f = 4
Solution
f = {0.6666666667, 4}