5x^4-2x^2+15x^2-6=

Solution for 5x^4-2x^2+15x^2-6= equation:

Simplifying
5x4 + -2x2 + 15x2 + -6 = 0

Reorder the terms:
-6 + -2x2 + 15x2 + 5x4 = 0

Combine like terms: -2x2 + 15x2 = 13x2
-6 + 13x2 + 5x4 = 0

Solving
-6 + 13x2 + 5x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x2)(2 + -5x2) = 0

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

Simplifying
-3 + -1x2 = 0

Solving
-3 + -1x2 = 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 + -1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x2 = 0 + 3
-1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-1x2 = 3

Divide each side by '-1'.
x2 = -3

Simplifying
x2 = -3

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

Simplifying
2 + -5x2 = 0

Solving
2 + -5x2 = 0

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

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

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

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

Divide each side by '-5'.
x2 = 0.4

Simplifying
x2 = 0.4

Take the square root of each side:
x = {-0.632455532, 0.632455532}
Solution
x = {-0.632455532, 0.632455532}