14f^2-43f+3=0

Solution for 14f^2-43f+3=0 equation:

Simplifying
14f2 + -43f + 3 = 0

Reorder the terms:
3 + -43f + 14f2 = 0

Solving
3 + -43f + 14f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(1 + -14f)(3 + -1f) = 0

Subproblem 1
Set the factor '(1 + -14f)' equal to zero and attempt to solve:

Simplifying
1 + -14f = 0

Solving
1 + -14f = 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 + -14f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -14f = 0 + -1
-14f = 0 + -1

Combine like terms: 0 + -1 = -1
-14f = -1

Divide each side by '-14'.
f = 0.07142857143

Simplifying
f = 0.07142857143
Subproblem 2
Set the factor '(3 + -1f)' equal to zero and attempt to solve:

Simplifying
3 + -1f = 0

Solving
3 + -1f = 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 + -1f = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1f = 0 + -3
-1f = 0 + -3

Combine like terms: 0 + -3 = -3
-1f = -3

Divide each side by '-1'.
f = 3

Simplifying
f = 3
Solution
f = {0.07142857143, 3}