-2y^2(7y^2+2y-2)=

Solution for -2y^2(7y^2+2y-2)= equation:

Simplifying
-2y2(7y2 + 2y + -2) = 0

Reorder the terms:
-2y2(-2 + 2y + 7y2) = 0
(-2 * -2y2 + 2y * -2y2 + 7y2 * -2y2) = 0
(4y2 + -4y3 + -14y4) = 0

Solving
4y2 + -4y3 + -14y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(2 + -2y + -7y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(2 + -2y + -7y2)' equal to zero and attempt to solve:

Simplifying
2 + -2y + -7y2 = 0

Solving
2 + -2y + -7y2 = 0

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

Divide each side by '-7'.
-0.2857142857 + 0.2857142857y + y2 = 0

Move the constant term to the right:

Add '0.2857142857' to each side of the equation.
-0.2857142857 + 0.2857142857y + 0.2857142857 + y2 = 0 + 0.2857142857

Reorder the terms:
-0.2857142857 + 0.2857142857 + 0.2857142857y + y2 = 0 + 0.2857142857

Combine like terms: -0.2857142857 + 0.2857142857 = 0.0000000000
0.0000000000 + 0.2857142857y + y2 = 0 + 0.2857142857
0.2857142857y + y2 = 0 + 0.2857142857

Combine like terms: 0 + 0.2857142857 = 0.2857142857
0.2857142857y + y2 = 0.2857142857

The y term is 0.2857142857y.  Take half its coefficient (0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
0.2857142857y + 0.02040816328 + y2 = 0.2857142857 + 0.02040816328

Reorder the terms:
0.02040816328 + 0.2857142857y + y2 = 0.2857142857 + 0.02040816328

Combine like terms: 0.2857142857 + 0.02040816328 = 0.30612244898
0.02040816328 + 0.2857142857y + y2 = 0.30612244898

Factor a perfect square on the left side:
(y + 0.1428571429)(y + 0.1428571429) = 0.30612244898

Calculate the square root of the right side: 0.553283335

Break this problem into two subproblems by setting 
(y + 0.1428571429) equal to 0.553283335 and -0.553283335.

Subproblem 1
y + 0.1428571429 = 0.553283335

Simplifying
y + 0.1428571429 = 0.553283335

Reorder the terms:
0.1428571429 + y = 0.553283335

Solving
0.1428571429 + y = 0.553283335

Solving for variable 'y'.

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

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.1428571429 + y = 0.553283335 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + y = 0.553283335 + -0.1428571429
y = 0.553283335 + -0.1428571429

Combine like terms: 0.553283335 + -0.1428571429 = 0.4104261921
y = 0.4104261921

Simplifying
y = 0.4104261921

Subproblem 2
y + 0.1428571429 = -0.553283335

Simplifying
y + 0.1428571429 = -0.553283335

Reorder the terms:
0.1428571429 + y = -0.553283335

Solving
0.1428571429 + y = -0.553283335

Solving for variable 'y'.

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

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.1428571429 + y = -0.553283335 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + y = -0.553283335 + -0.1428571429
y = -0.553283335 + -0.1428571429

Combine like terms: -0.553283335 + -0.1428571429 = -0.6961404779
y = -0.6961404779

Simplifying
y = -0.6961404779

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.4104261921, -0.6961404779}
Solution
y = {0, 0.4104261921, -0.6961404779}