3n(3p+9n)+2n=

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Solution for 3n(3p+9n)+2n= equation: 


Simplifying
3n(3p + 9n) + 2n = 0

Reorder the terms:
3n(9n + 3p) + 2n = 0
(9n * 3n + 3p * 3n) + 2n = 0

Reorder the terms:
(9np + 27n2) + 2n = 0
(9np + 27n2) + 2n = 0

Reorder the terms:
2n + 9np + 27n2 = 0

Solving
2n + 9np + 27n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(2 + 9p + 27n) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(2 + 9p + 27n)' equal to zero and attempt to solve:

Simplifying
2 + 9p + 27n = 0

Reorder the terms:
2 + 27n + 9p = 0

Solving
2 + 27n + 9p = 0

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

Add '-2' to each side of the equation.
2 + 27n + -2 + 9p = 0 + -2

Reorder the terms:
2 + -2 + 27n + 9p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 27n + 9p = 0 + -2
27n + 9p = 0 + -2

Combine like terms: 0 + -2 = -2
27n + 9p = -2

Add '-9p' to each side of the equation.
27n + 9p + -9p = -2 + -9p

Combine like terms: 9p + -9p = 0
27n + 0 = -2 + -9p
27n = -2 + -9p

Divide each side by '27'.
n = -0.07407407407 + -0.3333333333p

Simplifying
n = -0.07407407407 + -0.3333333333p
Solution
n = {0, -0.07407407407 + -0.3333333333p}

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