f^2-2f-35=0

Solution for f^2-2f-35=0 equation:

Simplifying
f2 + -2f + -35 = 0

Reorder the terms:
-35 + -2f + f2 = 0

Solving
-35 + -2f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-5 + -1f)(7 + -1f) = 0

Subproblem 1
Set the factor '(-5 + -1f)' equal to zero and attempt to solve:

Simplifying
-5 + -1f = 0

Solving
-5 + -1f = 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 + -1f = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1f = 0 + 5
-1f = 0 + 5

Combine like terms: 0 + 5 = 5
-1f = 5

Divide each side by '-1'.
f = -5

Simplifying
f = -5
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 = {-5, 7}