2x^4+15x^2-50=0

Solution for 2x^4+15x^2-50=0 equation:

Simplifying
2x4 + 15x2 + -50 = 0

Reorder the terms:
-50 + 15x2 + 2x4 = 0

Solving
-50 + 15x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x2)(5 + -2x2) = 0

Subproblem 1
Set the factor '(-10 + -1x2)' equal to zero and attempt to solve:

Simplifying
-10 + -1x2 = 0

Solving
-10 + -1x2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x2 = 0 + 10
-1x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-1x2 = 10

Divide each side by '-1'.
x2 = -10

Simplifying
x2 = -10

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 '(5 + -2x2)' equal to zero and attempt to solve:

Simplifying
5 + -2x2 = 0

Solving
5 + -2x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x2 = 0 + -5
-2x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2x2 = -5

Divide each side by '-2'.
x2 = 2.5

Simplifying
x2 = 2.5

Take the square root of each side:
x = {-1.58113883, 1.58113883}
Solution
x = {-1.58113883, 1.58113883}