6k^6+3k^2=

Solution for 6k^6+3k^2= equation:

Simplifying
6k6 + 3k2 = 0

Reorder the terms:
3k2 + 6k6 = 0

Solving
3k2 + 6k6 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k2'.
3k2(1 + 2k4) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve:

Simplifying
k2 = 0

Solving
k2 = 0

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

Simplifying
k2 = 0

Take the square root of each side:
k = {0}
Subproblem 2
Set the factor '(1 + 2k4)' equal to zero and attempt to solve:

Simplifying
1 + 2k4 = 0

Solving
1 + 2k4 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2k4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2k4 = 0 + -1
2k4 = 0 + -1

Combine like terms: 0 + -1 = -1
2k4 = -1

Divide each side by '2'.
k4 = -0.5

Simplifying
k4 = -0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}