12m^2+11mn-5n^2=

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Solution for 12m^2+11mn-5n^2= equation: 


Simplifying
12m2 + 11mn + -5n2 = 0

Reorder the terms:
11mn + 12m2 + -5n2 = 0

Solving
11mn + 12m2 + -5n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3m + -1n)(4m + 5n) = 0


Subproblem 1
Set the factor '(3m + -1n)' equal to zero and attempt to solve:

Simplifying
3m + -1n = 0

Solving
3m + -1n = 0

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

Add 'n' to each side of the equation.
3m + -1n + n = 0 + n

Combine like terms: -1n + n = 0
3m + 0 = 0 + n
3m = 0 + n
Remove the zero:
3m = n

Divide each side by '3'.
m = 0.3333333333n

Simplifying
m = 0.3333333333n

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

Simplifying
4m + 5n = 0

Solving
4m + 5n = 0

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

Add '-5n' to each side of the equation.
4m + 5n + -5n = 0 + -5n

Combine like terms: 5n + -5n = 0
4m + 0 = 0 + -5n
4m = 0 + -5n
Remove the zero:
4m = -5n

Divide each side by '4'.
m = -1.25n

Simplifying
m = -1.25n
Solution
m = {0.3333333333n, -1.25n}

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