15c^4+c^2-6=0

Solution for 15c^4+c^2-6=0 equation:

Simplifying
15c4 + c2 + -6 = 0

Reorder the terms:
-6 + c2 + 15c4 = 0

Solving
-6 + c2 + 15c4 = 0

Solving for variable 'c'.

Factor a trinomial.
(-2 + -3c2)(3 + -5c2) = 0

Subproblem 1
Set the factor '(-2 + -3c2)' equal to zero and attempt to solve:

Simplifying
-2 + -3c2 = 0

Solving
-2 + -3c2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3c2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3c2 = 0 + 2
-3c2 = 0 + 2

Combine like terms: 0 + 2 = 2
-3c2 = 2

Divide each side by '-3'.
c2 = -0.6666666667

Simplifying
c2 = -0.6666666667

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 + -5c2)' equal to zero and attempt to solve:

Simplifying
3 + -5c2 = 0

Solving
3 + -5c2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5c2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5c2 = 0 + -3
-5c2 = 0 + -3

Combine like terms: 0 + -3 = -3
-5c2 = -3

Divide each side by '-5'.
c2 = 0.6

Simplifying
c2 = 0.6

Take the square root of each side:
c = {-0.774596669, 0.774596669}
Solution
c = {-0.774596669, 0.774596669}