(20x^4+11x^2-3)=0

Solution for (20x^4+11x^2-3)=0 equation:

Simplifying
(20x4 + 11x2 + -3) = 0

Reorder the terms:
(-3 + 11x2 + 20x4) = 0

Remove parenthesis around (-3 + 11x2 + 20x4)
-3 + 11x2 + 20x4 = 0

Solving
-3 + 11x2 + 20x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x2)(1 + -5x2) = 0

Subproblem 1
Set the factor '(-3 + -4x2)' equal to zero and attempt to solve:

Simplifying
-3 + -4x2 = 0

Solving
-3 + -4x2 = 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 + -4x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x2 = 0 + 3
-4x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-4x2 = 3

Divide each side by '-4'.
x2 = -0.75

Simplifying
x2 = -0.75

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

Simplifying
1 + -5x2 = 0

Solving
1 + -5x2 = 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 + -5x2 = 0 + -1

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

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

Divide each side by '-5'.
x2 = 0.2

Simplifying
x2 = 0.2

Take the square root of each side:
x = {-0.447213596, 0.447213596}
Solution
x = {-0.447213596, 0.447213596}