X^2+X^4-90=0

Solution for X^2+X^4-90=0 equation:

Simplifying
X2 + X4 + -90 = 0

Reorder the terms:
-90 + X2 + X4 = 0

Solving
-90 + X2 + X4 = 0

Solving for variable 'X'.

Factor a trinomial.
(-10 + -1X2)(9 + -1X2) = 0

Factor a difference between two squares.
(-10 + -1X2)((3 + X)(3 + -1X)) = 0

Subproblem 1
Set the factor '(-10 + -1X2)' equal to zero and attempt to solve:

Simplifying
-10 + -1X2 = 0

Solving
-10 + -1X2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1X2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1X2 = 0 + 10
-1X2 = 0 + 10

Combine like terms: 0 + 10 = 10
-1X2 = 10

Divide each side by '-1'.
X2 = -10

Simplifying
X2 = -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 '(3 + X)' equal to zero and attempt to solve:

Simplifying
3 + X = 0

Solving
3 + X = 0

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

Add '-3' to each side of the equation.
3 + -3 + X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X = 0 + -3
X = 0 + -3

Combine like terms: 0 + -3 = -3
X = -3

Simplifying
X = -3
Subproblem 3
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {-3, 3}