(n^3+2n^2)(n^2-3n+8)=

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


Simplifying
(n3 + 2n2)(n2 + -3n + 8) = 0

Reorder the terms:
(2n2 + n3)(n2 + -3n + 8) = 0

Reorder the terms:
(2n2 + n3)(8 + -3n + n2) = 0

Multiply (2n2 + n3) * (8 + -3n + n2)
(2n2 * (8 + -3n + n2) + n3(8 + -3n + n2)) = 0
((8 * 2n2 + -3n * 2n2 + n2 * 2n2) + n3(8 + -3n + n2)) = 0
((16n2 + -6n3 + 2n4) + n3(8 + -3n + n2)) = 0
(16n2 + -6n3 + 2n4 + (8 * n3 + -3n * n3 + n2 * n3)) = 0
(16n2 + -6n3 + 2n4 + (8n3 + -3n4 + n5)) = 0

Reorder the terms:
(16n2 + -6n3 + 8n3 + 2n4 + -3n4 + n5) = 0

Combine like terms: -6n3 + 8n3 = 2n3
(16n2 + 2n3 + 2n4 + -3n4 + n5) = 0

Combine like terms: 2n4 + -3n4 = -1n4
(16n2 + 2n3 + -1n4 + n5) = 0

Solving
16n2 + 2n3 + -1n4 + n5 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(16 + 2n + -1n2 + n3) = 0


Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

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

Simplifying
n2 = 0

Take the square root of each side:
n = {0}

Subproblem 2
Set the factor '(16 + 2n + -1n2 + n3)' equal to zero and attempt to solve:

Simplifying
16 + 2n + -1n2 + n3 = 0

Solving
16 + 2n + -1n2 + n3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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