X^4-14X^2-576=0

Solution for X^4-14X^2-576=0 equation:

Simplifying
X4 + -14X2 + -576 = 0

Reorder the terms:
-576 + -14X2 + X4 = 0

Solving
-576 + -14X2 + X4 = 0

Solving for variable 'X'.

Factor a trinomial.
(-18 + -1X2)(32 + -1X2) = 0

Subproblem 1
Set the factor '(-18 + -1X2)' equal to zero and attempt to solve:

Simplifying
-18 + -1X2 = 0

Solving
-18 + -1X2 = 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 + -1X2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1X2 = 0 + 18
-1X2 = 0 + 18

Combine like terms: 0 + 18 = 18
-1X2 = 18

Divide each side by '-1'.
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 '(32 + -1X2)' equal to zero and attempt to solve:

Simplifying
32 + -1X2 = 0

Solving
32 + -1X2 = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1X2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1X2 = 0 + -32
-1X2 = 0 + -32

Combine like terms: 0 + -32 = -32
-1X2 = -32

Divide each side by '-1'.
X2 = 32

Simplifying
X2 = 32

Take the square root of each side:
X = {-5.656854249, 5.656854249}
Solution
X = {-5.656854249, 5.656854249}