m^2-5mn-66n^2=

Solution for m^2-5mn-66n^2= equation:

Simplifying
m2 + -5mn + -66n2 = 0

Reorder the terms:
-5mn + m2 + -66n2 = 0

Solving
-5mn + m2 + -66n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -11n)(m + 6n) = 0

Subproblem 1
Set the factor '(m + -11n)' equal to zero and attempt to solve:

Simplifying
m + -11n = 0

Solving
m + -11n = 0

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

Add '11n' to each side of the equation.
m + -11n + 11n = 0 + 11n

Combine like terms: -11n + 11n = 0
m + 0 = 0 + 11n
m = 0 + 11n
Remove the zero:
m = 11n

Simplifying
m = 11n
Subproblem 2
Set the factor '(m + 6n)' equal to zero and attempt to solve:

Simplifying
m + 6n = 0

Solving
m + 6n = 0

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

Add '-6n' to each side of the equation.
m + 6n + -6n = 0 + -6n

Combine like terms: 6n + -6n = 0
m + 0 = 0 + -6n
m = 0 + -6n
Remove the zero:
m = -6n

Simplifying
m = -6n
Solution
m = {11n, -6n}