a^4-5p^2+4=0

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Solution for a^4-5p^2+4=0 equation: 


Simplifying
a4 + -5p2 + 4 = 0

Reorder the terms:
4 + a4 + -5p2 = 0

Solving
4 + a4 + -5p2 = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + a4 + -4 + -5p2 = 0 + -4

Reorder the terms:
4 + -4 + a4 + -5p2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + a4 + -5p2 = 0 + -4
a4 + -5p2 = 0 + -4

Combine like terms: 0 + -4 = -4
a4 + -5p2 = -4

Add '5p2' to each side of the equation.
a4 + -5p2 + 5p2 = -4 + 5p2

Combine like terms: -5p2 + 5p2 = 0
a4 + 0 = -4 + 5p2
a4 = -4 + 5p2

Simplifying
a4 = -4 + 5p2

Reorder the terms:
4 + a4 + -5p2 = -4 + 5p2 + 4 + -5p2

Reorder the terms:
4 + a4 + -5p2 = -4 + 4 + 5p2 + -5p2

Combine like terms: -4 + 4 = 0
4 + a4 + -5p2 = 0 + 5p2 + -5p2
4 + a4 + -5p2 = 5p2 + -5p2

Combine like terms: 5p2 + -5p2 = 0
4 + a4 + -5p2 = 0

Factor a trinomial.
(a2 + -1p)(a2 + 5p) = 0


Subproblem 1
Set the factor '(a2 + -1p)' equal to zero and attempt to solve:

Simplifying
a2 + -1p = 0

Solving
a2 + -1p = 0

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

Add 'p' to each side of the equation.
a2 + -1p + p = 0 + p

Combine like terms: -1p + p = 0
a2 + 0 = 0 + p
a2 = 0 + p
Remove the zero:
a2 = p

Simplifying
a2 = p

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 '(a2 + 5p)' equal to zero and attempt to solve:

Simplifying
a2 + 5p = 0

Solving
a2 + 5p = 0

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

Add '-5p' to each side of the equation.
a2 + 5p + -5p = 0 + -5p

Combine like terms: 5p + -5p = 0
a2 + 0 = 0 + -5p
a2 = 0 + -5p
Remove the zero:
a2 = -5p

Simplifying
a2 = -5p

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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