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

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

Simplifying
8x2(-5x2 + 8x + -4) = 0

Reorder the terms:
8x2(-4 + 8x + -5x2) = 0
(-4 * 8x2 + 8x * 8x2 + -5x2 * 8x2) = 0
(-32x2 + 64x3 + -40x4) = 0

Solving
-32x2 + 64x3 + -40x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x2'.
8x2(-4 + 8x + -5x2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-4 + 8x + -5x2)' equal to zero and attempt to solve:

Simplifying
-4 + 8x + -5x2 = 0

Solving
-4 + 8x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.8 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -1.6x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -1.6x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.6x + x2 = 0 + -0.8
-1.6x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-1.6x + x2 = -0.8

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -0.8 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -0.8 + 0.64

Combine like terms: -0.8 + 0.64 = -0.16
0.64 + -1.6x + x2 = -0.16

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -0.16

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
x = {0}