f^2+9f-36=

Solution for f^2+9f-36= equation:

Simplifying
f2 + 9f + -36 = 0

Reorder the terms:
-36 + 9f + f2 = 0

Solving
-36 + 9f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-12 + -1f)(3 + -1f) = 0

Subproblem 1
Set the factor '(-12 + -1f)' equal to zero and attempt to solve:

Simplifying
-12 + -1f = 0

Solving
-12 + -1f = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1f = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1f = 0 + 12
-1f = 0 + 12

Combine like terms: 0 + 12 = 12
-1f = 12

Divide each side by '-1'.
f = -12

Simplifying
f = -12
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 = {-12, 3}