m^2-11mn+10n^2=0

Solution for m^2-11mn+10n^2=0 equation:

Simplifying
m2 + -11mn + 10n2 = 0

Reorder the terms:
-11mn + m2 + 10n2 = 0

Solving
-11mn + m2 + 10n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -10n)(m + -1n) = 0

Subproblem 1
Set the factor '(m + -10n)' equal to zero and attempt to solve:

Simplifying
m + -10n = 0

Solving
m + -10n = 0

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

Add '10n' to each side of the equation.
m + -10n + 10n = 0 + 10n

Combine like terms: -10n + 10n = 0
m + 0 = 0 + 10n
m = 0 + 10n
Remove the zero:
m = 10n

Simplifying
m = 10n
Subproblem 2
Set the factor '(m + -1n)' equal to zero and attempt to solve:

Simplifying
m + -1n = 0

Solving
m + -1n = 0

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

Add 'n' to each side of the equation.
m + -1n + n = 0 + n

Combine like terms: -1n + n = 0
m + 0 = 0 + n
m = 0 + n
Remove the zero:
m = n

Simplifying
m = n
Solution
m = {10n, n}