12m^2-143mn-12n^2=

Solution for 12m^2-143mn-12n^2= equation:

Simplifying
12m2 + -143mn + -12n2 = 0

Reorder the terms:
-143mn + 12m2 + -12n2 = 0

Solving
-143mn + 12m2 + -12n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -12n)(12m + n) = 0

Subproblem 1
Set the factor '(m + -12n)' equal to zero and attempt to solve:

Simplifying
m + -12n = 0

Solving
m + -12n = 0

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

Add '12n' to each side of the equation.
m + -12n + 12n = 0 + 12n

Combine like terms: -12n + 12n = 0
m + 0 = 0 + 12n
m = 0 + 12n
Remove the zero:
m = 12n

Simplifying
m = 12n
Subproblem 2
Set the factor '(12m + n)' equal to zero and attempt to solve:

Simplifying
12m + n = 0

Solving
12m + n = 0

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

Add '-1n' to each side of the equation.
12m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
12m + 0 = 0 + -1n
12m = 0 + -1n
Remove the zero:
12m = -1n

Divide each side by '12'.
m = -0.08333333333n

Simplifying
m = -0.08333333333n
Solution
m = {12n, -0.08333333333n}