s^2+5sf-36f^2=

Solution for s^2+5sf-36f^2= equation:

Simplifying
s2 + 5sf + -36f2 = 0

Reorder the terms:
5fs + -36f2 + s2 = 0

Solving
5fs + -36f2 + s2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-9f + -1s)(4f + -1s) = 0

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

Simplifying
-9f + -1s = 0

Solving
-9f + -1s = 0

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

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

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

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

Simplifying
f = -0.1111111111s
Subproblem 2
Set the factor '(4f + -1s)' equal to zero and attempt to solve:

Simplifying
4f + -1s = 0

Solving
4f + -1s = 0

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

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

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

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

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