n^2(-8n^2+4n-9)=

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Solution for n^2(-8n^2+4n-9)= equation: 


Simplifying
n2(-8n2 + 4n + -9) = 0

Reorder the terms:
n2(-9 + 4n + -8n2) = 0
(-9 * n2 + 4n * n2 + -8n2 * n2) = 0
(-9n2 + 4n3 + -8n4) = 0

Solving
-9n2 + 4n3 + -8n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(-9 + 4n + -8n2) = 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 '(-9 + 4n + -8n2)' equal to zero and attempt to solve:

Simplifying
-9 + 4n + -8n2 = 0

Solving
-9 + 4n + -8n2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
1.125 + -0.5n + n2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -0.5n + -1.125 + n2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -0.5n + n2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -0.5n + n2 = 0 + -1.125
-0.5n + n2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-0.5n + n2 = -1.125

The n term is -0.5n.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5n + 0.0625 + n2 = -1.125 + 0.0625

Reorder the terms:
0.0625 + -0.5n + n2 = -1.125 + 0.0625

Combine like terms: -1.125 + 0.0625 = -1.0625
0.0625 + -0.5n + n2 = -1.0625

Factor a perfect square on the left side:
(n + -0.25)(n + -0.25) = -1.0625

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}

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