8x^2(-6x^2+6x-3)=

Solution for 8x^2(-6x^2+6x-3)= equation:

Simplifying
8x2(-6x2 + 6x + -3) = 0

Reorder the terms:
8x2(-3 + 6x + -6x2) = 0
(-3 * 8x2 + 6x * 8x2 + -6x2 * 8x2) = 0
(-24x2 + 48x3 + -48x4) = 0

Solving
-24x2 + 48x3 + -48x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24x2'.
24x2(-1 + 2x + -2x2) = 0

Ignore the factor 24.
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 '(-1 + 2x + -2x2)' equal to zero and attempt to solve:

Simplifying
-1 + 2x + -2x2 = 0

Solving
-1 + 2x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
0.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1x + x2 = 0 + -0.5
-1x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1x + x2 = -0.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -1x + x2 = -0.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.25

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}