15m^2-17mn-4n^2=0

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Solution for 15m^2-17mn-4n^2=0 equation: 


Simplifying
15m2 + -17mn + -4n2 = 0

Reorder the terms:
-17mn + 15m2 + -4n2 = 0

Solving
-17mn + 15m2 + -4n2 = 0

Solving for variable 'm'.

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


Subproblem 1
Set the factor '(3m + -4n)' equal to zero and attempt to solve:

Simplifying
3m + -4n = 0

Solving
3m + -4n = 0

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

Add '4n' to each side of the equation.
3m + -4n + 4n = 0 + 4n

Combine like terms: -4n + 4n = 0
3m + 0 = 0 + 4n
3m = 0 + 4n
Remove the zero:
3m = 4n

Divide each side by '3'.
m = 1.333333333n

Simplifying
m = 1.333333333n

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

Simplifying
5m + n = 0

Solving
5m + n = 0

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

Add '-1n' to each side of the equation.
5m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
5m + 0 = 0 + -1n
5m = 0 + -1n
Remove the zero:
5m = -1n

Divide each side by '5'.
m = -0.2n

Simplifying
m = -0.2n
Solution
m = {1.333333333n, -0.2n}

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