m^2-3mn-28n^2=

Solution for m^2-3mn-28n^2= equation:

Simplifying
m2 + -3mn + -28n2 = 0

Reorder the terms:
-3mn + m2 + -28n2 = 0

Solving
-3mn + m2 + -28n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -7n)(m + 4n) = 0

Subproblem 1
Set the factor '(m + -7n)' equal to zero and attempt to solve:

Simplifying
m + -7n = 0

Solving
m + -7n = 0

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

Add '7n' to each side of the equation.
m + -7n + 7n = 0 + 7n

Combine like terms: -7n + 7n = 0
m + 0 = 0 + 7n
m = 0 + 7n
Remove the zero:
m = 7n

Simplifying
m = 7n
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 = {7n, -4n}