P^4-100=

Solution for P^4-100= equation:

Simplifying
P4 + -100 = 0

Reorder the terms:
-100 + P4 = 0

Solving
-100 + P4 = 0

Solving for variable 'P'.

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

Add '100' to each side of the equation.
-100 + 100 + P4 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + P4 = 0 + 100
P4 = 0 + 100

Combine like terms: 0 + 100 = 100
P4 = 100

Simplifying
P4 = 100

Reorder the terms:
-100 + P4 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + P4 = 0

Factor a difference between two squares.
(10 + P2)(-10 + P2) = 0

Subproblem 1
Set the factor '(10 + P2)' equal to zero and attempt to solve:

Simplifying
10 + P2 = 0

Solving
10 + P2 = 0

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

Add '-10' to each side of the equation.
10 + -10 + P2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + P2 = 0 + -10
P2 = 0 + -10

Combine like terms: 0 + -10 = -10
P2 = -10

Simplifying
P2 = -10

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 '(-10 + P2)' equal to zero and attempt to solve:

Simplifying
-10 + P2 = 0

Solving
-10 + P2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + P2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + P2 = 0 + 10
P2 = 0 + 10

Combine like terms: 0 + 10 = 10
P2 = 10

Simplifying
P2 = 10

Take the square root of each side:
P = {-3.16227766, 3.16227766}
Solution
P = {-3.16227766, 3.16227766}