4n(2n^3p^2-3np^2+5n)+4p(6n^2p-2np^2+3p)=0

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Solution for 4n(2n^3p^2-3np^2+5n)+4p(6n^2p-2np^2+3p)=0 equation: 


Simplifying
4n(2n3p2 + -3np2 + 5n) + 4p(6n2p + -2np2 + 3p) = 0

Reorder the terms:
4n(5n + -3np2 + 2n3p2) + 4p(6n2p + -2np2 + 3p) = 0
(5n * 4n + -3np2 * 4n + 2n3p2 * 4n) + 4p(6n2p + -2np2 + 3p) = 0
(20n2 + -12n2p2 + 8n4p2) + 4p(6n2p + -2np2 + 3p) = 0

Reorder the terms:
20n2 + -12n2p2 + 8n4p2 + 4p(-2np2 + 6n2p + 3p) = 0
20n2 + -12n2p2 + 8n4p2 + (-2np2 * 4p + 6n2p * 4p + 3p * 4p) = 0
20n2 + -12n2p2 + 8n4p2 + (-8np3 + 24n2p2 + 12p2) = 0

Reorder the terms:
-8np3 + 20n2 + -12n2p2 + 24n2p2 + 8n4p2 + 12p2 = 0

Combine like terms: -12n2p2 + 24n2p2 = 12n2p2
-8np3 + 20n2 + 12n2p2 + 8n4p2 + 12p2 = 0

Solving
-8np3 + 20n2 + 12n2p2 + 8n4p2 + 12p2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2np3 + 5n2 + 3n2p2 + 2n4p2 + 3p2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2np3 + 5n2 + 3n2p2 + 2n4p2 + 3p2)' equal to zero and attempt to solve:

Simplifying
-2np3 + 5n2 + 3n2p2 + 2n4p2 + 3p2 = 0

Solving
-2np3 + 5n2 + 3n2p2 + 2n4p2 + 3p2 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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