24f^2-34f+5=0

Solution for 24f^2-34f+5=0 equation:

Simplifying
24f2 + -34f + 5 = 0

Reorder the terms:
5 + -34f + 24f2 = 0

Solving
5 + -34f + 24f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(1 + -6f)(5 + -4f) = 0

Subproblem 1
Set the factor '(1 + -6f)' equal to zero and attempt to solve:

Simplifying
1 + -6f = 0

Solving
1 + -6f = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6f = 0 + -1
-6f = 0 + -1

Combine like terms: 0 + -1 = -1
-6f = -1

Divide each side by '-6'.
f = 0.1666666667

Simplifying
f = 0.1666666667
Subproblem 2
Set the factor '(5 + -4f)' equal to zero and attempt to solve:

Simplifying
5 + -4f = 0

Solving
5 + -4f = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4f = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4f = 0 + -5
-4f = 0 + -5

Combine like terms: 0 + -5 = -5
-4f = -5

Divide each side by '-4'.
f = 1.25

Simplifying
f = 1.25
Solution
f = {0.1666666667, 1.25}