P^4+p^2-1=0

Solution for P^4+p^2-1=0 equation:

Simplifying
P4 + p2 + -1 = 0

Reorder the terms:
-1 + P4 + p2 = 0

Solving
-1 + P4 + p2 = 0

Solving for variable 'P'.

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

Add '1' to each side of the equation.
-1 + P4 + 1 + p2 = 0 + 1

Reorder the terms:
-1 + 1 + P4 + p2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + P4 + p2 = 0 + 1
P4 + p2 = 0 + 1

Combine like terms: 0 + 1 = 1
P4 + p2 = 1

Add '-1p2' to each side of the equation.
P4 + p2 + -1p2 = 1 + -1p2

Combine like terms: p2 + -1p2 = 0
P4 + 0 = 1 + -1p2
P4 = 1 + -1p2

Simplifying
P4 = 1 + -1p2

Reorder the terms:
-1 + P4 + p2 = 1 + -1p2 + -1 + p2

Reorder the terms:
-1 + P4 + p2 = 1 + -1 + -1p2 + p2

Combine like terms: 1 + -1 = 0
-1 + P4 + p2 = 0 + -1p2 + p2
-1 + P4 + p2 = -1p2 + p2

Combine like terms: -1p2 + p2 = 0
-1 + P4 + p2 = 0

The solution to this equation could not be determined.