2p^4-2=0

Solution for 2p^4-2=0 equation:

Simplifying
2p4 + -2 = 0

Reorder the terms:
-2 + 2p4 = 0

Solving
-2 + 2p4 = 0

Solving for variable 'p'.

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

Add '2' to each side of the equation.
-2 + 2 + 2p4 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2p4 = 0 + 2
2p4 = 0 + 2

Combine like terms: 0 + 2 = 2
2p4 = 2

Divide each side by '2'.
p4 = 1

Simplifying
p4 = 1

Reorder the terms:
-1 + p4 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + p4 = 0

Factor a difference between two squares.
(1 + p2)(-1 + p2) = 0

Factor a difference between two squares.
(1 + p2)((1 + p)(-1 + p)) = 0

Subproblem 1
Set the factor '(1 + p2)' equal to zero and attempt to solve:

Simplifying
1 + p2 = 0

Solving
1 + p2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + p2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p2 = 0 + -1
p2 = 0 + -1

Combine like terms: 0 + -1 = -1
p2 = -1

Simplifying
p2 = -1

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 '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 0

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

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

Combine like terms: 1 + -1 = 0
0 + p = 0 + -1
p = 0 + -1

Combine like terms: 0 + -1 = -1
p = -1

Simplifying
p = -1
Subproblem 3
Set the factor '(-1 + p)' equal to zero and attempt to solve:

Simplifying
-1 + p = 0

Solving
-1 + p = 0

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

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

Combine like terms: -1 + 1 = 0
0 + p = 0 + 1
p = 0 + 1

Combine like terms: 0 + 1 = 1
p = 1

Simplifying
p = 1
Solution
p = {-1, 1}