0=2x^4+3x^2-9

Solution for 0=2x^4+3x^2-9 equation:

Simplifying
0 = 2x4 + 3x2 + -9

Reorder the terms:
0 = -9 + 3x2 + 2x4

Solving
0 = -9 + 3x2 + 2x4

Solving for variable 'x'.

Combine like terms: 0 + 9 = 9
9 + -3x2 + -2x4 = -9 + 3x2 + 2x4 + 9 + -3x2 + -2x4

Reorder the terms:
9 + -3x2 + -2x4 = -9 + 9 + 3x2 + -3x2 + 2x4 + -2x4

Combine like terms: -9 + 9 = 0
9 + -3x2 + -2x4 = 0 + 3x2 + -3x2 + 2x4 + -2x4
9 + -3x2 + -2x4 = 3x2 + -3x2 + 2x4 + -2x4

Combine like terms: 3x2 + -3x2 = 0
9 + -3x2 + -2x4 = 0 + 2x4 + -2x4
9 + -3x2 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
9 + -3x2 + -2x4 = 0

Factor a trinomial.
(3 + -2x2)(3 + x2) = 0

Subproblem 1
Set the factor '(3 + -2x2)' equal to zero and attempt to solve:

Simplifying
3 + -2x2 = 0

Solving
3 + -2x2 = 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 + -2x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 = 0 + -3
-2x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x2 = -3

Divide each side by '-2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}
Subproblem 2
Set the factor '(3 + x2)' equal to zero and attempt to solve:

Simplifying
3 + x2 = 0

Solving
3 + x2 = 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 + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x2 = 0 + -3
x2 = 0 + -3

Combine like terms: 0 + -3 = -3
x2 = -3

Simplifying
x2 = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-1.224744871, 1.224744871}