m^2-2mn-8n^2=

Solution for m^2-2mn-8n^2= equation:

Simplifying
m2 + -2mn + -8n2 = 0

Reorder the terms:
-2mn + m2 + -8n2 = 0

Solving
-2mn + m2 + -8n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -4n)(m + 2n) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(m + 2n)' equal to zero and attempt to solve:

Simplifying
m + 2n = 0

Solving
m + 2n = 0

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

Add '-2n' to each side of the equation.
m + 2n + -2n = 0 + -2n

Combine like terms: 2n + -2n = 0
m + 0 = 0 + -2n
m = 0 + -2n
Remove the zero:
m = -2n

Simplifying
m = -2n
Solution
m = {4n, -2n}