x^4+5x^2-66=0

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Solution for x^4+5x^2-66=0 equation: 


Simplifying
x4 + 5x2 + -66 = 0

Reorder the terms:
-66 + 5x2 + x4 = 0

Solving
-66 + 5x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -1x2)(6 + -1x2) = 0


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

Simplifying
-11 + -1x2 = 0

Solving
-11 + -1x2 = 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 + -1x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x2 = 0 + 11
-1x2 = 0 + 11

Combine like terms: 0 + 11 = 11
-1x2 = 11

Divide each side by '-1'.
x2 = -11

Simplifying
x2 = -11

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 '(6 + -1x2)' equal to zero and attempt to solve:

Simplifying
6 + -1x2 = 0

Solving
6 + -1x2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x2 = 0 + -6
-1x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1x2 = -6

Divide each side by '-1'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}
Solution
x = {-2.449489743, 2.449489743}

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