2y^2-18y^6=

Solution for 2y^2-18y^6= equation:

Simplifying
2y2 + -18y6 = 0

Solving
2y2 + -18y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(1 + -9y4) = 0

Factor a difference between two squares.
2y2((1 + 3y2)(1 + -3y2)) = 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 '(1 + 3y2)' equal to zero and attempt to solve:

Simplifying
1 + 3y2 = 0

Solving
1 + 3y2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3y2 = 0 + -1
3y2 = 0 + -1

Combine like terms: 0 + -1 = -1
3y2 = -1

Divide each side by '3'.
y2 = -0.3333333333

Simplifying
y2 = -0.3333333333

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(1 + -3y2)' equal to zero and attempt to solve:

Simplifying
1 + -3y2 = 0

Solving
1 + -3y2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y2 = 0 + -1
-3y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3y2 = -1

Divide each side by '-3'.
y2 = 0.3333333333

Simplifying
y2 = 0.3333333333

Take the square root of each side:
y = {-0.577350269, 0.577350269}
Solution
y = {0, -0.577350269, 0.577350269}