f^2+42-13f=

Solution for f^2+42-13f= equation:

Simplifying
f2 + 42 + -13f = 0

Reorder the terms:
42 + -13f + f2 = 0

Solving
42 + -13f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(6 + -1f)(7 + -1f) = 0

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

Simplifying
6 + -1f = 0

Solving
6 + -1f = 0

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

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

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

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

Divide each side by '-1'.
f = 6

Simplifying
f = 6
Subproblem 2
Set the factor '(7 + -1f)' equal to zero and attempt to solve:

Simplifying
7 + -1f = 0

Solving
7 + -1f = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1f = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1f = 0 + -7
-1f = 0 + -7

Combine like terms: 0 + -7 = -7
-1f = -7

Divide each side by '-1'.
f = 7

Simplifying
f = 7
Solution
f = {6, 7}