-2y^3(8y^2+6y-4)=

Solution for -2y^3(8y^2+6y-4)= equation:

Simplifying
-2y3(8y2 + 6y + -4) = 0

Reorder the terms:
-2y3(-4 + 6y + 8y2) = 0
(-4 * -2y3 + 6y * -2y3 + 8y2 * -2y3) = 0
(8y3 + -12y4 + -16y5) = 0

Solving
8y3 + -12y4 + -16y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y3'.
4y3(2 + -3y + -4y2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve:

Simplifying
y3 = 0

Solving
y3 = 0

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

Simplifying
y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(2 + -3y + -4y2)' equal to zero and attempt to solve:

Simplifying
2 + -3y + -4y2 = 0

Solving
2 + -3y + -4y2 = 0

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

Divide each side by '-4'.
-0.5 + 0.75y + y2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 0.75y + 0.5 + y2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 0.75y + y2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.75y + y2 = 0 + 0.5
0.75y + y2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
0.75y + y2 = 0.5

The y term is 0.75y.  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.
0.75y + 0.140625 + y2 = 0.5 + 0.140625

Reorder the terms:
0.140625 + 0.75y + y2 = 0.5 + 0.140625

Combine like terms: 0.5 + 0.140625 = 0.640625
0.140625 + 0.75y + y2 = 0.640625

Factor a perfect square on the left side:
(y + 0.375)(y + 0.375) = 0.640625

Calculate the square root of the right side: 0.80039053

Break this problem into two subproblems by setting 
(y + 0.375) equal to 0.80039053 and -0.80039053.

Subproblem 1
y + 0.375 = 0.80039053

Simplifying
y + 0.375 = 0.80039053

Reorder the terms:
0.375 + y = 0.80039053

Solving
0.375 + y = 0.80039053

Solving for variable 'y'.

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

Add '-0.375' to each side of the equation.
0.375 + -0.375 + y = 0.80039053 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + y = 0.80039053 + -0.375
y = 0.80039053 + -0.375

Combine like terms: 0.80039053 + -0.375 = 0.42539053
y = 0.42539053

Simplifying
y = 0.42539053

Subproblem 2
y + 0.375 = -0.80039053

Simplifying
y + 0.375 = -0.80039053

Reorder the terms:
0.375 + y = -0.80039053

Solving
0.375 + y = -0.80039053

Solving for variable 'y'.

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

Add '-0.375' to each side of the equation.
0.375 + -0.375 + y = -0.80039053 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + y = -0.80039053 + -0.375
y = -0.80039053 + -0.375

Combine like terms: -0.80039053 + -0.375 = -1.17539053
y = -1.17539053

Simplifying
y = -1.17539053

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.42539053, -1.17539053}
Solution
y = {0.42539053, -1.17539053}