8f^2-10f+3=0

Solution for 8f^2-10f+3=0 equation:

Simplifying
8f2 + -10f + 3 = 0

Reorder the terms:
3 + -10f + 8f2 = 0

Solving
3 + -10f + 8f2 = 0

Solving for variable 'f'.

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

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

Simplifying
1 + -2f = 0

Solving
1 + -2f = 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 + -2f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2f = 0 + -1
-2f = 0 + -1

Combine like terms: 0 + -1 = -1
-2f = -1

Divide each side by '-2'.
f = 0.5

Simplifying
f = 0.5
Subproblem 2
Set the factor '(3 + -4f)' equal to zero and attempt to solve:

Simplifying
3 + -4f = 0

Solving
3 + -4f = 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 + -4f = 0 + -3

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

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

Divide each side by '-4'.
f = 0.75

Simplifying
f = 0.75
Solution
f = {0.5, 0.75}