3y^4-48=

Solution for 3y^4-48= equation:

Simplifying
3y4 + -48 = 0

Reorder the terms:
-48 + 3y4 = 0

Solving
-48 + 3y4 = 0

Solving for variable 'y'.

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

Add '48' to each side of the equation.
-48 + 48 + 3y4 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 3y4 = 0 + 48
3y4 = 0 + 48

Combine like terms: 0 + 48 = 48
3y4 = 48

Divide each side by '3'.
y4 = 16

Simplifying
y4 = 16

Reorder the terms:
-16 + y4 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + y4 = 0

Factor a difference between two squares.
(4 + y2)(-4 + y2) = 0

Factor a difference between two squares.
(4 + y2)((2 + y)(-2 + y)) = 0

Subproblem 1
Set the factor '(4 + y2)' equal to zero and attempt to solve:

Simplifying
4 + y2 = 0

Solving
4 + y2 = 0

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

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

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

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

Simplifying
y2 = -4

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

Simplifying
2 + y = 0

Solving
2 + y = 0

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 = 0 + -2

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

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

Simplifying
y = -2
Subproblem 3
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 0

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 = 0 + 2

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

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

Simplifying
y = 2
Solution
y = {-2, 2}