-2y^4(9y^2+4y-6)=

Solution for -2y^4(9y^2+4y-6)= equation:

Simplifying
-2y4(9y2 + 4y + -6) = 0

Reorder the terms:
-2y4(-6 + 4y + 9y2) = 0
(-6 * -2y4 + 4y * -2y4 + 9y2 * -2y4) = 0
(12y4 + -8y5 + -18y6) = 0

Solving
12y4 + -8y5 + -18y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y4'.
2y4(6 + -4y + -9y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve:

Simplifying
y4 = 0

Solving
y4 = 0

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

Simplifying
y4 = 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 '(6 + -4y + -9y2)' equal to zero and attempt to solve:

Simplifying
6 + -4y + -9y2 = 0

Solving
6 + -4y + -9y2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
-0.6666666667 + 0.4444444444y + y2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + 0.4444444444y + 0.6666666667 + y2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + 0.4444444444y + y2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + 0.4444444444y + y2 = 0 + 0.6666666667
0.4444444444y + y2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
0.4444444444y + y2 = 0.6666666667

The y term is 0.4444444444y.  Take half its coefficient (0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
0.4444444444y + 0.04938271604 + y2 = 0.6666666667 + 0.04938271604

Reorder the terms:
0.04938271604 + 0.4444444444y + y2 = 0.6666666667 + 0.04938271604

Combine like terms: 0.6666666667 + 0.04938271604 = 0.71604938274
0.04938271604 + 0.4444444444y + y2 = 0.71604938274

Factor a perfect square on the left side:
(y + 0.2222222222)(y + 0.2222222222) = 0.71604938274

Calculate the square root of the right side: 0.846197012

Break this problem into two subproblems by setting 
(y + 0.2222222222) equal to 0.846197012 and -0.846197012.

Subproblem 1
y + 0.2222222222 = 0.846197012

Simplifying
y + 0.2222222222 = 0.846197012

Reorder the terms:
0.2222222222 + y = 0.846197012

Solving
0.2222222222 + y = 0.846197012

Solving for variable 'y'.

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

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.2222222222 + y = 0.846197012 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + y = 0.846197012 + -0.2222222222
y = 0.846197012 + -0.2222222222

Combine like terms: 0.846197012 + -0.2222222222 = 0.6239747898
y = 0.6239747898

Simplifying
y = 0.6239747898

Subproblem 2
y + 0.2222222222 = -0.846197012

Simplifying
y + 0.2222222222 = -0.846197012

Reorder the terms:
0.2222222222 + y = -0.846197012

Solving
0.2222222222 + y = -0.846197012

Solving for variable 'y'.

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

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.2222222222 + y = -0.846197012 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + y = -0.846197012 + -0.2222222222
y = -0.846197012 + -0.2222222222

Combine like terms: -0.846197012 + -0.2222222222 = -1.0684192342
y = -1.0684192342

Simplifying
y = -1.0684192342

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.6239747898, -1.0684192342}
Solution
y = {0.6239747898, -1.0684192342}