36x^4+9x^2-22=0

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Solution for 36x^4+9x^2-22=0 equation: 


Simplifying
36x4 + 9x2 + -22 = 0

Reorder the terms:
-22 + 9x2 + 36x4 = 0

Solving
-22 + 9x2 + 36x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -12x2)(2 + -3x2) = 0


Subproblem 1
Set the factor '(-11 + -12x2)' equal to zero and attempt to solve:

Simplifying
-11 + -12x2 = 0

Solving
-11 + -12x2 = 0

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

Add '11' to each side of the equation.
-11 + 11 + -12x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -12x2 = 0 + 11
-12x2 = 0 + 11

Combine like terms: 0 + 11 = 11
-12x2 = 11

Divide each side by '-12'.
x2 = -0.9166666667

Simplifying
x2 = -0.9166666667

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 '(2 + -3x2)' equal to zero and attempt to solve:

Simplifying
2 + -3x2 = 0

Solving
2 + -3x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x2 = 0 + -2

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

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

Divide each side by '-3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}
Solution
x = {-0.816496581, 0.816496581}

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