16p^4-81=0

Solution for 16p^4-81=0 equation:

Simplifying
16p4 + -81 = 0

Reorder the terms:
-81 + 16p4 = 0

Solving
-81 + 16p4 = 0

Solving for variable 'p'.

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

Add '81' to each side of the equation.
-81 + 81 + 16p4 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 16p4 = 0 + 81
16p4 = 0 + 81

Combine like terms: 0 + 81 = 81
16p4 = 81

Divide each side by '16'.
p4 = 5.0625

Simplifying
p4 = 5.0625

Reorder the terms:
-5.0625 + p4 = 5.0625 + -5.0625

Combine like terms: 5.0625 + -5.0625 = 0.0000
-5.0625 + p4 = 0.0000

Factor a difference between two squares.
(2.25 + p2)(-2.25 + p2) = 0.0000

Factor a difference between two squares.
(2.25 + p2)((1.5 + p)(-1.5 + p)) = 0.0000

Subproblem 1
Set the factor '(2.25 + p2)' equal to zero and attempt to solve:

Simplifying
2.25 + p2 = 0

Solving
2.25 + p2 = 0

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + p2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + p2 = 0 + -2.25
p2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
p2 = -2.25

Simplifying
p2 = -2.25

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

Simplifying
1.5 + p = 0

Solving
1.5 + p = 0

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + p = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + p = 0 + -1.5
p = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
p = -1.5

Simplifying
p = -1.5
Subproblem 3
Set the factor '(-1.5 + p)' equal to zero and attempt to solve:

Simplifying
-1.5 + p = 0

Solving
-1.5 + p = 0

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + p = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + p = 0 + 1.5
p = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
p = 1.5

Simplifying
p = 1.5
Solution
p = {-1.5, 1.5}