x^4-324=0

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Solution for x^4-324=0 equation: 


Simplifying
x4 + -324 = 0

Reorder the terms:
-324 + x4 = 0

Solving
-324 + x4 = 0

Solving for variable 'x'.

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

Add '324' to each side of the equation.
-324 + 324 + x4 = 0 + 324

Combine like terms: -324 + 324 = 0
0 + x4 = 0 + 324
x4 = 0 + 324

Combine like terms: 0 + 324 = 324
x4 = 324

Simplifying
x4 = 324

Reorder the terms:
-324 + x4 = 324 + -324

Combine like terms: 324 + -324 = 0
-324 + x4 = 0

Factor a difference between two squares.
(18 + x2)(-18 + x2) = 0


Subproblem 1
Set the factor '(18 + x2)' equal to zero and attempt to solve:

Simplifying
18 + x2 = 0

Solving
18 + x2 = 0

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

Add '-18' to each side of the equation.
18 + -18 + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x2 = 0 + -18
x2 = 0 + -18

Combine like terms: 0 + -18 = -18
x2 = -18

Simplifying
x2 = -18

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 '(-18 + x2)' equal to zero and attempt to solve:

Simplifying
-18 + x2 = 0

Solving
-18 + x2 = 0

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

Add '18' to each side of the equation.
-18 + 18 + x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + x2 = 0 + 18
x2 = 0 + 18

Combine like terms: 0 + 18 = 18
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}
Solution
x = {-4.242640687, 4.242640687}

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