-6y^5(2y^2+8y-2)=

Solution for -6y^5(2y^2+8y-2)= equation:

Simplifying
-6y5(2y2 + 8y + -2) = 0

Reorder the terms:
-6y5(-2 + 8y + 2y2) = 0
(-2 * -6y5 + 8y * -6y5 + 2y2 * -6y5) = 0
(12y5 + -48y6 + -12y7) = 0

Solving
12y5 + -48y6 + -12y7 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '12y5'.
12y5(1 + -4y + -1y2) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'y5' equal to zero and attempt to solve:

Simplifying
y5 = 0

Solving
y5 = 0

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

Simplifying
y5 = 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 '(1 + -4y + -1y2)' equal to zero and attempt to solve:

Simplifying
1 + -4y + -1y2 = 0

Solving
1 + -4y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-1 + 4y + y2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + 4y + 1 + y2 = 0 + 1

Reorder the terms:
-1 + 1 + 4y + y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4y + y2 = 0 + 1
4y + y2 = 0 + 1

Combine like terms: 0 + 1 = 1
4y + y2 = 1

The y term is 4y.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4y + 4 + y2 = 1 + 4

Reorder the terms:
4 + 4y + y2 = 1 + 4

Combine like terms: 1 + 4 = 5
4 + 4y + y2 = 5

Factor a perfect square on the left side:
(y + 2)(y + 2) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(y + 2) equal to 2.236067978 and -2.236067978.

Subproblem 1
y + 2 = 2.236067978

Simplifying
y + 2 = 2.236067978

Reorder the terms:
2 + y = 2.236067978

Solving
2 + y = 2.236067978

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + y = 2.236067978 + -2

Combine like terms: 2 + -2 = 0
0 + y = 2.236067978 + -2
y = 2.236067978 + -2

Combine like terms: 2.236067978 + -2 = 0.236067978
y = 0.236067978

Simplifying
y = 0.236067978

Subproblem 2
y + 2 = -2.236067978

Simplifying
y + 2 = -2.236067978

Reorder the terms:
2 + y = -2.236067978

Solving
2 + y = -2.236067978

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + y = -2.236067978 + -2

Combine like terms: 2 + -2 = 0
0 + y = -2.236067978 + -2
y = -2.236067978 + -2

Combine like terms: -2.236067978 + -2 = -4.236067978
y = -4.236067978

Simplifying
y = -4.236067978

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.236067978, -4.236067978}
Solution
y = {0.236067978, -4.236067978}