-4x^5(8x^2+9x-2)=

Solution for -4x^5(8x^2+9x-2)= equation:

Simplifying
-4x5(8x2 + 9x + -2) = 0

Reorder the terms:
-4x5(-2 + 9x + 8x2) = 0
(-2 * -4x5 + 9x * -4x5 + 8x2 * -4x5) = 0
(8x5 + -36x6 + -32x7) = 0

Solving
8x5 + -36x6 + -32x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x5'.
4x5(2 + -9x + -8x2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve:

Simplifying
x5 = 0

Solving
x5 = 0

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

Simplifying
x5 = 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 + -9x + -8x2)' equal to zero and attempt to solve:

Simplifying
2 + -9x + -8x2 = 0

Solving
2 + -9x + -8x2 = 0

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

Divide each side by '-8'.
-0.25 + 1.125x + x2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + 1.125x + 0.25 + x2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + 1.125x + x2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 1.125x + x2 = 0 + 0.25
1.125x + x2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
1.125x + x2 = 0.25

The x term is 1.125x.  Take half its coefficient (0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
1.125x + 0.31640625 + x2 = 0.25 + 0.31640625

Reorder the terms:
0.31640625 + 1.125x + x2 = 0.25 + 0.31640625

Combine like terms: 0.25 + 0.31640625 = 0.56640625
0.31640625 + 1.125x + x2 = 0.56640625

Factor a perfect square on the left side:
(x + 0.5625)(x + 0.5625) = 0.56640625

Calculate the square root of the right side: 0.752599661

Break this problem into two subproblems by setting 
(x + 0.5625) equal to 0.752599661 and -0.752599661.

Subproblem 1
x + 0.5625 = 0.752599661

Simplifying
x + 0.5625 = 0.752599661

Reorder the terms:
0.5625 + x = 0.752599661

Solving
0.5625 + x = 0.752599661

Solving for variable 'x'.

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

Add '-0.5625' to each side of the equation.
0.5625 + -0.5625 + x = 0.752599661 + -0.5625

Combine like terms: 0.5625 + -0.5625 = 0.0000
0.0000 + x = 0.752599661 + -0.5625
x = 0.752599661 + -0.5625

Combine like terms: 0.752599661 + -0.5625 = 0.190099661
x = 0.190099661

Simplifying
x = 0.190099661

Subproblem 2
x + 0.5625 = -0.752599661

Simplifying
x + 0.5625 = -0.752599661

Reorder the terms:
0.5625 + x = -0.752599661

Solving
0.5625 + x = -0.752599661

Solving for variable 'x'.

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

Add '-0.5625' to each side of the equation.
0.5625 + -0.5625 + x = -0.752599661 + -0.5625

Combine like terms: 0.5625 + -0.5625 = 0.0000
0.0000 + x = -0.752599661 + -0.5625
x = -0.752599661 + -0.5625

Combine like terms: -0.752599661 + -0.5625 = -1.315099661
x = -1.315099661

Simplifying
x = -1.315099661

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.190099661, -1.315099661}
Solution
x = {0.190099661, -1.315099661}