3m^2p+13mnp+4n^2p=0

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Solution for 3m^2p+13mnp+4n^2p=0 equation: 


Simplifying
3m2p + 13mnp + 4n2p = 0

Reorder the terms:
13mnp + 3m2p + 4n2p = 0

Solving
13mnp + 3m2p + 4n2p = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(13mn + 3m2 + 4n2) = 0

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


Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Add '-1p' to each side of the equation.
p + -1p = 0 + -1p
Remove the zero:
0 = -1p

Simplifying
0 = -1p

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3m + n)' equal to zero and attempt to solve:

Simplifying
3m + n = 0

Solving
3m + n = 0

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

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

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

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

Simplifying
m = -0.3333333333n

Subproblem 3
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 = {-0.3333333333n, -4n}

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