p^4=-25p^2

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Solution for p^4=-25p^2 equation: 


Simplifying
p4 = -25p2

Solving
p4 = -25p2

Solving for variable 'p'.

Reorder the terms:
25p2 + p4 = -25p2 + 25p2

Combine like terms: -25p2 + 25p2 = 0
25p2 + p4 = 0

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(25 + p2) = 0


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

Simplifying
p2 = 0

Solving
p2 = 0

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

Simplifying
p2 = 0

Take the square root of each side:
p = {0}

Subproblem 2
Set the factor '(25 + p2)' equal to zero and attempt to solve:

Simplifying
25 + p2 = 0

Solving
25 + p2 = 0

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

Add '-25' to each side of the equation.
25 + -25 + p2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + p2 = 0 + -25
p2 = 0 + -25

Combine like terms: 0 + -25 = -25
p2 = -25

Simplifying
p2 = -25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}

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