3f^2-13f+10=

Solution for 3f^2-13f+10= equation:

Simplifying
3f2 + -13f + 10 = 0

Reorder the terms:
10 + -13f + 3f2 = 0

Solving
10 + -13f + 3f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(1 + -1f)(10 + -3f) = 0

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

Simplifying
1 + -1f = 0

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

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

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

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

Simplifying
f = 1
Subproblem 2
Set the factor '(10 + -3f)' equal to zero and attempt to solve:

Simplifying
10 + -3f = 0

Solving
10 + -3f = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3f = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3f = 0 + -10
-3f = 0 + -10

Combine like terms: 0 + -10 = -10
-3f = -10

Divide each side by '-3'.
f = 3.333333333

Simplifying
f = 3.333333333
Solution
f = {1, 3.333333333}