m^2-mn-20n^2=

Solution for m^2-mn-20n^2= equation:

Simplifying
m2 + -1mn + -20n2 = 0

Reorder the terms:
-1mn + m2 + -20n2 = 0

Solving
-1mn + m2 + -20n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -5n)(m + 4n) = 0

Subproblem 1
Set the factor '(m + -5n)' equal to zero and attempt to solve:

Simplifying
m + -5n = 0

Solving
m + -5n = 0

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

Add '5n' to each side of the equation.
m + -5n + 5n = 0 + 5n

Combine like terms: -5n + 5n = 0
m + 0 = 0 + 5n
m = 0 + 5n
Remove the zero:
m = 5n

Simplifying
m = 5n
Subproblem 2
Set the factor '(m + 4n)' equal to zero and attempt to solve:

Simplifying
m + 4n = 0

Solving
m + 4n = 0

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

Add '-4n' to each side of the equation.
m + 4n + -4n = 0 + -4n

Combine like terms: 4n + -4n = 0
m + 0 = 0 + -4n
m = 0 + -4n
Remove the zero:
m = -4n

Simplifying
m = -4n
Solution
m = {5n, -4n}