n^2(-4n^2+9n-5)=

Solution for n^2(-4n^2+9n-5)= equation:

Simplifying
n2(-4n2 + 9n + -5) = 0

Reorder the terms:
n2(-5 + 9n + -4n2) = 0
(-5 * n2 + 9n * n2 + -4n2 * n2) = 0
(-5n2 + 9n3 + -4n4) = 0

Solving
-5n2 + 9n3 + -4n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(-5 + 9n + -4n2) = 0

Factor a trinomial.
n2((-5 + 4n)(1 + -1n)) = 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 + 4n)' equal to zero and attempt to solve:

Simplifying
-5 + 4n = 0

Solving
-5 + 4n = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4n = 0 + 5
4n = 0 + 5

Combine like terms: 0 + 5 = 5
4n = 5

Divide each side by '4'.
n = 1.25

Simplifying
n = 1.25
Subproblem 3
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Solution
n = {0, 1.25, 1}