b^2-5bf-36f^2=

Solution for b^2-5bf-36f^2= equation:

Simplifying
b2 + -5bf + -36f2 = 0

Reorder the terms:
-5bf + b2 + -36f2 = 0

Solving
-5bf + b2 + -36f2 = 0

Solving for variable 'b'.

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

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

Simplifying
b + -9f = 0

Solving
b + -9f = 0

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

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

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

Simplifying
b = 9f
Subproblem 2
Set the factor '(b + 4f)' equal to zero and attempt to solve:

Simplifying
b + 4f = 0

Solving
b + 4f = 0

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

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

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

Simplifying
b = -4f
Solution
b = {9f, -4f}