24x^4+55x^2-24=

Solution for 24x^4+55x^2-24= equation:

Simplifying
24x4 + 55x2 + -24 = 0

Reorder the terms:
-24 + 55x2 + 24x4 = 0

Solving
-24 + 55x2 + 24x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x2)(3 + -8x2) = 0

Subproblem 1
Set the factor '(-8 + -3x2)' equal to zero and attempt to solve:

Simplifying
-8 + -3x2 = 0

Solving
-8 + -3x2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x2 = 0 + 8
-3x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-3x2 = 8

Divide each side by '-3'.
x2 = -2.666666667

Simplifying
x2 = -2.666666667

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 '(3 + -8x2)' equal to zero and attempt to solve:

Simplifying
3 + -8x2 = 0

Solving
3 + -8x2 = 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 + -8x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x2 = 0 + -3
-8x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-8x2 = -3

Divide each side by '-8'.
x2 = 0.375

Simplifying
x2 = 0.375

Take the square root of each side:
x = {-0.612372436, 0.612372436}
Solution
x = {-0.612372436, 0.612372436}