-5=-2x^4+9x^2

Solution for -5=-2x^4+9x^2 equation:

Simplifying
-5 = -2x4 + 9x2

Reorder the terms:
-5 = 9x2 + -2x4

Solving
-5 = 9x2 + -2x4

Solving for variable 'x'.

Reorder the terms:
-5 + -9x2 + 2x4 = 9x2 + -9x2 + -2x4 + 2x4

Combine like terms: 9x2 + -9x2 = 0
-5 + -9x2 + 2x4 = 0 + -2x4 + 2x4
-5 + -9x2 + 2x4 = -2x4 + 2x4

Combine like terms: -2x4 + 2x4 = 0
-5 + -9x2 + 2x4 = 0

Factor a trinomial.
(-1 + -2x2)(5 + -1x2) = 0

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

Simplifying
-1 + -2x2 = 0

Solving
-1 + -2x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x2 = 0 + 1
-2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2x2 = 1

Divide each side by '-2'.
x2 = -0.5

Simplifying
x2 = -0.5

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 '(5 + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Solution
x = {-2.236067978, 2.236067978}