-16X^3+12X^2-8X=0

Solution for -16X^3+12X^2-8X=0 equation:

Simplifying
-16X3 + 12X2 + -8X = 0

Reorder the terms:
-8X + 12X2 + -16X3 = 0

Solving
-8X + 12X2 + -16X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4X'.
4X(-2 + 3X + -4X2) = 0

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

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0
Subproblem 2
Set the factor '(-2 + 3X + -4X2)' equal to zero and attempt to solve:

Simplifying
-2 + 3X + -4X2 = 0

Solving
-2 + 3X + -4X2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.5 + -0.75X + X2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.75X + -0.5 + X2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.75X + X2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.75X + X2 = 0 + -0.5
-0.75X + X2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.75X + X2 = -0.5

The X term is -0.75X.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75X + 0.140625 + X2 = -0.5 + 0.140625

Reorder the terms:
0.140625 + -0.75X + X2 = -0.5 + 0.140625

Combine like terms: -0.5 + 0.140625 = -0.359375
0.140625 + -0.75X + X2 = -0.359375

Factor a perfect square on the left side:
(X + -0.375)(X + -0.375) = -0.359375

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}