4p^4q^4r^8-81=

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Solution for 4p^4q^4r^8-81= equation: 


Simplifying
4p4q4r8 + -81 = 0

Reorder the terms:
-81 + 4p4q4r8 = 0

Solving
-81 + 4p4q4r8 = 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 + 4p4q4r8 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 4p4q4r8 = 0 + 81
4p4q4r8 = 0 + 81

Combine like terms: 0 + 81 = 81
4p4q4r8 = 81

Divide each side by '4q4r8'.
p4 = 20.25q-4r-8

Simplifying
p4 = 20.25q-4r-8

Combine like terms: 20.25q-4r-8 + -20.25q-4r-8 = 0.00
p4 + -20.25q-4r-8 = 0.00

Factor a difference between two squares.
(p2 + 4.5q-2r-4)(p2 + -4.5q-2r-4) = 0.00


Subproblem 1
Set the factor '(p2 + 4.5q-2r-4)' equal to zero and attempt to solve:

Simplifying
p2 + 4.5q-2r-4 = 0

Solving
p2 + 4.5q-2r-4 = 0

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

Add '-4.5q-2r-4' to each side of the equation.
p2 + 4.5q-2r-4 + -4.5q-2r-4 = 0 + -4.5q-2r-4

Combine like terms: 4.5q-2r-4 + -4.5q-2r-4 = 0.0
p2 + 0.0 = 0 + -4.5q-2r-4
p2 = 0 + -4.5q-2r-4
Remove the zero:
p2 = -4.5q-2r-4

Simplifying
p2 = -4.5q-2r-4

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 + -4.5q-2r-4)' equal to zero and attempt to solve:

Simplifying
p2 + -4.5q-2r-4 = 0

Solving
p2 + -4.5q-2r-4 = 0

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

Add '4.5q-2r-4' to each side of the equation.
p2 + -4.5q-2r-4 + 4.5q-2r-4 = 0 + 4.5q-2r-4

Combine like terms: -4.5q-2r-4 + 4.5q-2r-4 = 0.0
p2 + 0.0 = 0 + 4.5q-2r-4
p2 = 0 + 4.5q-2r-4
Remove the zero:
p2 = 4.5q-2r-4

Simplifying
p2 = 4.5q-2r-4

Take the square root of each side:
p = {-2.121320344q-1r-2, 2.121320344q-1r-2}
Solution
p = {-2.121320344q-1r-2, 2.121320344q-1r-2}

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