2x^4-29x^2-15=0

Solution for 2x^4-29x^2-15=0 equation:

Simplifying
2x4 + -29x2 + -15 = 0

Reorder the terms:
-15 + -29x2 + 2x4 = 0

Solving
-15 + -29x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x2)(15 + -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 '(15 + -1x2)' equal to zero and attempt to solve:

Simplifying
15 + -1x2 = 0

Solving
15 + -1x2 = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x2 = 0 + -15
-1x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-1x2 = -15

Divide each side by '-1'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}
Solution
x = {-3.872983346, 3.872983346}