28y^3-16y^2+16y=0

Solution for 28y^3-16y^2+16y=0 equation:

Simplifying
28y3 + -16y2 + 16y = 0

Reorder the terms:
16y + -16y2 + 28y3 = 0

Solving
16y + -16y2 + 28y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(4 + -4y + 7y2) = 0

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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(4 + -4y + 7y2)' equal to zero and attempt to solve:

Simplifying
4 + -4y + 7y2 = 0

Solving
4 + -4y + 7y2 = 0

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

Divide each side by '7'.
0.5714285714 + -0.5714285714y + y2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + -0.5714285714y + -0.5714285714 + y2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + -0.5714285714y + y2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + -0.5714285714y + y2 = 0 + -0.5714285714
-0.5714285714y + y2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
-0.5714285714y + y2 = -0.5714285714

The y term is -0.5714285714y.  Take half its coefficient (-0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
-0.5714285714y + 0.08163265305 + y2 = -0.5714285714 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714y + y2 = -0.5714285714 + 0.08163265305

Combine like terms: -0.5714285714 + 0.08163265305 = -0.48979591835
0.08163265305 + -0.5714285714y + y2 = -0.48979591835

Factor a perfect square on the left side:
(y + -0.2857142857)(y + -0.2857142857) = -0.48979591835

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
y = {0}