P^4-16p^2=0

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Solution for P^4-16p^2=0 equation: 


Simplifying
P4 + -16p2 = 0

Solving
P4 + -16p2 = 0

Solving for variable 'P'.

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

Add '16p2' to each side of the equation.
P4 + -16p2 + 16p2 = 0 + 16p2

Combine like terms: -16p2 + 16p2 = 0
P4 + 0 = 0 + 16p2
P4 = 0 + 16p2
Remove the zero:
P4 = 16p2

Simplifying
P4 = 16p2

Combine like terms: 16p2 + -16p2 = 0
P4 + -16p2 = 0

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


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

Simplifying
P2 + 4p = 0

Solving
P2 + 4p = 0

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

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

Combine like terms: 4p + -4p = 0
P2 + 0 = 0 + -4p
P2 = 0 + -4p
Remove the zero:
P2 = -4p

Simplifying
P2 = -4p

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 '(P2 + -4p)' equal to zero and attempt to solve:

Simplifying
P2 + -4p = 0

Solving
P2 + -4p = 0

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

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

Combine like terms: -4p + 4p = 0
P2 + 0 = 0 + 4p
P2 = 0 + 4p
Remove the zero:
P2 = 4p

Simplifying
P2 = 4p

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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