162-2y^4=0

Solution for 162-2y^4=0 equation:

Simplifying
162 + -2y4 = 0

Solving
162 + -2y4 = 0

Solving for variable 'y'.

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

Add '-162' to each side of the equation.
162 + -162 + -2y4 = 0 + -162

Combine like terms: 162 + -162 = 0
0 + -2y4 = 0 + -162
-2y4 = 0 + -162

Combine like terms: 0 + -162 = -162
-2y4 = -162

Divide each side by '-2'.
y4 = 81

Simplifying
y4 = 81

Reorder the terms:
-81 + y4 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + y4 = 0

Factor a difference between two squares.
(9 + y2)(-9 + y2) = 0

Factor a difference between two squares.
(9 + y2)((3 + y)(-3 + y)) = 0

Subproblem 1
Set the factor '(9 + y2)' equal to zero and attempt to solve:

Simplifying
9 + y2 = 0

Solving
9 + y2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + y2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + y2 = 0 + -9
y2 = 0 + -9

Combine like terms: 0 + -9 = -9
y2 = -9

Simplifying
y2 = -9

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 '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 0

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

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

Combine like terms: 3 + -3 = 0
0 + y = 0 + -3
y = 0 + -3

Combine like terms: 0 + -3 = -3
y = -3

Simplifying
y = -3
Subproblem 3
Set the factor '(-3 + y)' equal to zero and attempt to solve:

Simplifying
-3 + y = 0

Solving
-3 + y = 0

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

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

Combine like terms: -3 + 3 = 0
0 + y = 0 + 3
y = 0 + 3

Combine like terms: 0 + 3 = 3
y = 3

Simplifying
y = 3
Solution
y = {-3, 3}