16x^3-10x^2+4x=

Solution for 16x^3-10x^2+4x= equation:

Simplifying
16x3 + -10x2 + 4x = 0

Reorder the terms:
4x + -10x2 + 16x3 = 0

Solving
4x + -10x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + -5x + 8x2) = 0

Ignore the factor 2.
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 + -5x + 8x2)' equal to zero and attempt to solve:

Simplifying
2 + -5x + 8x2 = 0

Solving
2 + -5x + 8x2 = 0

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

Divide each side by '8'.
0.25 + -0.625x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.625x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.625x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.625x + x2 = 0 + -0.25
-0.625x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.625x + x2 = -0.25

The x term is -0.625x.  Take half its coefficient (-0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
-0.625x + 0.09765625 + x2 = -0.25 + 0.09765625

Reorder the terms:
0.09765625 + -0.625x + x2 = -0.25 + 0.09765625

Combine like terms: -0.25 + 0.09765625 = -0.15234375
0.09765625 + -0.625x + x2 = -0.15234375

Factor a perfect square on the left side:
(x + -0.3125)(x + -0.3125) = -0.15234375

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}