P^8-4p^4=0

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Solution for P^8-4p^4=0 equation: 


Simplifying
P8 + -4p4 = 0

Solving
P8 + -4p4 = 0

Solving for variable 'P'.

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

Add '4p4' to each side of the equation.
P8 + -4p4 + 4p4 = 0 + 4p4

Combine like terms: -4p4 + 4p4 = 0
P8 + 0 = 0 + 4p4
P8 = 0 + 4p4
Remove the zero:
P8 = 4p4

Simplifying
P8 = 4p4

Combine like terms: 4p4 + -4p4 = 0
P8 + -4p4 = 0

Factor a difference between two squares.
(P4 + 2p2)(P4 + -2p2) = 0


Subproblem 1
Set the factor '(P4 + 2p2)' equal to zero and attempt to solve:

Simplifying
P4 + 2p2 = 0

Solving
P4 + 2p2 = 0

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

Add '-2p2' to each side of the equation.
P4 + 2p2 + -2p2 = 0 + -2p2

Combine like terms: 2p2 + -2p2 = 0
P4 + 0 = 0 + -2p2
P4 = 0 + -2p2
Remove the zero:
P4 = -2p2

Simplifying
P4 = -2p2

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 '(P4 + -2p2)' equal to zero and attempt to solve:

Simplifying
P4 + -2p2 = 0

Solving
P4 + -2p2 = 0

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

Add '2p2' to each side of the equation.
P4 + -2p2 + 2p2 = 0 + 2p2

Combine like terms: -2p2 + 2p2 = 0
P4 + 0 = 0 + 2p2
P4 = 0 + 2p2
Remove the zero:
P4 = 2p2

Simplifying
P4 = 2p2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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