s^2+13sf+36f^2=

Solution for s^2+13sf+36f^2= equation:

Simplifying
s2 + 13sf + 36f2 = 0

Reorder the terms:
13fs + 36f2 + s2 = 0

Solving
13fs + 36f2 + s2 = 0

Solving for variable 'f'.

Factor a trinomial.
(9f + s)(4f + s) = 0

Subproblem 1
Set the factor '(9f + s)' equal to zero and attempt to solve:

Simplifying
9f + s = 0

Solving
9f + s = 0

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

Add '-1s' to each side of the equation.
9f + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
9f + 0 = 0 + -1s
9f = 0 + -1s
Remove the zero:
9f = -1s

Divide each side by '9'.
f = -0.1111111111s

Simplifying
f = -0.1111111111s
Subproblem 2
Set the factor '(4f + s)' equal to zero and attempt to solve:

Simplifying
4f + s = 0

Solving
4f + s = 0

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

Add '-1s' to each side of the equation.
4f + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
4f + 0 = 0 + -1s
4f = 0 + -1s
Remove the zero:
4f = -1s

Divide each side by '4'.
f = -0.25s

Simplifying
f = -0.25s
Solution
f = {-0.1111111111s, -0.25s}