(2n^4+4n^3)(7n^4-8n^3+6n^2)=

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Solution for (2n^4+4n^3)(7n^4-8n^3+6n^2)= equation: 


Simplifying
(2n4 + 4n3)(7n4 + -8n3 + 6n2) = 0

Reorder the terms:
(4n3 + 2n4)(7n4 + -8n3 + 6n2) = 0

Reorder the terms:
(4n3 + 2n4)(6n2 + -8n3 + 7n4) = 0

Multiply (4n3 + 2n4) * (6n2 + -8n3 + 7n4)
(4n3 * (6n2 + -8n3 + 7n4) + 2n4 * (6n2 + -8n3 + 7n4)) = 0
((6n2 * 4n3 + -8n3 * 4n3 + 7n4 * 4n3) + 2n4 * (6n2 + -8n3 + 7n4)) = 0
((24n5 + -32n6 + 28n7) + 2n4 * (6n2 + -8n3 + 7n4)) = 0
(24n5 + -32n6 + 28n7 + (6n2 * 2n4 + -8n3 * 2n4 + 7n4 * 2n4)) = 0
(24n5 + -32n6 + 28n7 + (12n6 + -16n7 + 14n8)) = 0

Reorder the terms:
(24n5 + -32n6 + 12n6 + 28n7 + -16n7 + 14n8) = 0

Combine like terms: -32n6 + 12n6 = -20n6
(24n5 + -20n6 + 28n7 + -16n7 + 14n8) = 0

Combine like terms: 28n7 + -16n7 = 12n7
(24n5 + -20n6 + 12n7 + 14n8) = 0

Solving
24n5 + -20n6 + 12n7 + 14n8 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n5'.
2n5(12 + -10n + 6n2 + 7n3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'n5' equal to zero and attempt to solve:

Simplifying
n5 = 0

Solving
n5 = 0

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

Simplifying
n5 = 0

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 '(12 + -10n + 6n2 + 7n3)' equal to zero and attempt to solve:

Simplifying
12 + -10n + 6n2 + 7n3 = 0

Solving
12 + -10n + 6n2 + 7n3 = 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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