n^2(-4n^2+n-5)=

Solution for n^2(-4n^2+n-5)= equation:

Simplifying
n2(-4n2 + n + -5) = 0

Reorder the terms:
n2(-5 + n + -4n2) = 0
(-5 * n2 + n * n2 + -4n2 * n2) = 0
(-5n2 + n3 + -4n4) = 0

Solving
-5n2 + n3 + -4n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(-5 + n + -4n2) = 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 '(-5 + n + -4n2)' equal to zero and attempt to solve:

Simplifying
-5 + n + -4n2 = 0

Solving
-5 + n + -4n2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.25 + -0.25n + n2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.25n + -1.25 + n2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.25n + n2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.25n + n2 = 0 + -1.25
-0.25n + n2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.25n + n2 = -1.25

The n term is n.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.25n + 0.25 + n2 = -1.25 + 0.25

Reorder the terms:
0.25 + -0.25n + n2 = -1.25 + 0.25

Combine like terms: -1.25 + 0.25 = -1
0.25 + -0.25n + n2 = -1

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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