-8u^4(8u^2-3u-2)=

Solution for -8u^4(8u^2-3u-2)= equation:

Simplifying
-8u4(8u2 + -3u + -2) = 0

Reorder the terms:
-8u4(-2 + -3u + 8u2) = 0
(-2 * -8u4 + -3u * -8u4 + 8u2 * -8u4) = 0
(16u4 + 24u5 + -64u6) = 0

Solving
16u4 + 24u5 + -64u6 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '8u4'.
8u4(2 + 3u + -8u2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'u4' equal to zero and attempt to solve:

Simplifying
u4 = 0

Solving
u4 = 0

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

Simplifying
u4 = 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 '(2 + 3u + -8u2)' equal to zero and attempt to solve:

Simplifying
2 + 3u + -8u2 = 0

Solving
2 + 3u + -8u2 = 0

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

Divide each side by '-8'.
-0.25 + -0.375u + u2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -0.375u + 0.25 + u2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -0.375u + u2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -0.375u + u2 = 0 + 0.25
-0.375u + u2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-0.375u + u2 = 0.25

The u term is -0.375u.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375u + 0.03515625 + u2 = 0.25 + 0.03515625

Reorder the terms:
0.03515625 + -0.375u + u2 = 0.25 + 0.03515625

Combine like terms: 0.25 + 0.03515625 = 0.28515625
0.03515625 + -0.375u + u2 = 0.28515625

Factor a perfect square on the left side:
(u + -0.1875)(u + -0.1875) = 0.28515625

Calculate the square root of the right side: 0.534000234

Break this problem into two subproblems by setting 
(u + -0.1875) equal to 0.534000234 and -0.534000234.

Subproblem 1
u + -0.1875 = 0.534000234

Simplifying
u + -0.1875 = 0.534000234

Reorder the terms:
-0.1875 + u = 0.534000234

Solving
-0.1875 + u = 0.534000234

Solving for variable 'u'.

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

Add '0.1875' to each side of the equation.
-0.1875 + 0.1875 + u = 0.534000234 + 0.1875

Combine like terms: -0.1875 + 0.1875 = 0.0000
0.0000 + u = 0.534000234 + 0.1875
u = 0.534000234 + 0.1875

Combine like terms: 0.534000234 + 0.1875 = 0.721500234
u = 0.721500234

Simplifying
u = 0.721500234

Subproblem 2
u + -0.1875 = -0.534000234

Simplifying
u + -0.1875 = -0.534000234

Reorder the terms:
-0.1875 + u = -0.534000234

Solving
-0.1875 + u = -0.534000234

Solving for variable 'u'.

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

Add '0.1875' to each side of the equation.
-0.1875 + 0.1875 + u = -0.534000234 + 0.1875

Combine like terms: -0.1875 + 0.1875 = 0.0000
0.0000 + u = -0.534000234 + 0.1875
u = -0.534000234 + 0.1875

Combine like terms: -0.534000234 + 0.1875 = -0.346500234
u = -0.346500234

Simplifying
u = -0.346500234

Solution
The solution to the problem is based on the solutions
from the subproblems.
u = {0.721500234, -0.346500234}
Solution
u = {0.721500234, -0.346500234}