P^4=16

Solution for P^4=16 equation:

Simplifying
P4 = 16

Solving
P4 = 16

Solving for variable 'P'.

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

Simplifying
P4 = 16

Reorder the terms:
-16 + P4 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + P4 = 0

Factor a difference between two squares.
(4 + P2)(-4 + P2) = 0

Factor a difference between two squares.
(4 + P2)((2 + P)(-2 + P)) = 0

Subproblem 1
Set the factor '(4 + P2)' equal to zero and attempt to solve:

Simplifying
4 + P2 = 0

Solving
4 + P2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + P2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + P2 = 0 + -4
P2 = 0 + -4

Combine like terms: 0 + -4 = -4
P2 = -4

Simplifying
P2 = -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 + P)' equal to zero and attempt to solve:

Simplifying
2 + P = 0

Solving
2 + P = 0

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

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

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

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

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

Simplifying
-2 + P = 0

Solving
-2 + P = 0

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

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

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

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

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