16a^4-p^4=

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Solution for 16a^4-p^4= equation: 


Simplifying
16a4 + -1p4 = 0

Solving
16a4 + -1p4 = 0

Solving for variable 'a'.

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

Add 'p4' to each side of the equation.
16a4 + -1p4 + p4 = 0 + p4

Combine like terms: -1p4 + p4 = 0
16a4 + 0 = 0 + p4
16a4 = 0 + p4
Remove the zero:
16a4 = p4

Divide each side by '16'.
a4 = 0.0625p4

Simplifying
a4 = 0.0625p4

Combine like terms: 0.0625p4 + -0.0625p4 = 0.0000
a4 + -0.0625p4 = 0.0000

Factor a difference between two squares.
(a2 + 0.25p2)(a2 + -0.25p2) = 0.0000

Factor a difference between two squares.
(a2 + 0.25p2)((a + 0.5p)(a + -0.5p)) = 0.0000


Subproblem 1
Set the factor '(a2 + 0.25p2)' equal to zero and attempt to solve:

Simplifying
a2 + 0.25p2 = 0

Solving
a2 + 0.25p2 = 0

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

Add '-0.25p2' to each side of the equation.
a2 + 0.25p2 + -0.25p2 = 0 + -0.25p2

Combine like terms: 0.25p2 + -0.25p2 = 0.00
a2 + 0.00 = 0 + -0.25p2
a2 = 0 + -0.25p2
Remove the zero:
a2 = -0.25p2

Simplifying
a2 = -0.25p2

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 '(a + 0.5p)' equal to zero and attempt to solve:

Simplifying
a + 0.5p = 0

Solving
a + 0.5p = 0

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

Add '-0.5p' to each side of the equation.
a + 0.5p + -0.5p = 0 + -0.5p

Combine like terms: 0.5p + -0.5p = 0.0
a + 0.0 = 0 + -0.5p
a = 0 + -0.5p
Remove the zero:
a = -0.5p

Simplifying
a = -0.5p

Subproblem 3
Set the factor '(a + -0.5p)' equal to zero and attempt to solve:

Simplifying
a + -0.5p = 0

Solving
a + -0.5p = 0

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

Add '0.5p' to each side of the equation.
a + -0.5p + 0.5p = 0 + 0.5p

Combine like terms: -0.5p + 0.5p = 0.0
a + 0.0 = 0 + 0.5p
a = 0 + 0.5p
Remove the zero:
a = 0.5p

Simplifying
a = 0.5p
Solution
a = {-0.5p, 0.5p}

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