0=12j^2+6j^2k+2j^2k^2

Solution for 0=12j^2+6j^2k+2j^2k^2 equation:

Simplifying
0 = 12j2 + 6j2k + 2j2k2

Solving
0 = 12j2 + 6j2k + 2j2k2

Solving for variable 'j'.

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

Add '-12j2' to each side of the equation.
0 + -12j2 = 12j2 + 6j2k + -12j2 + 2j2k2
Remove the zero:
-12j2 = 12j2 + 6j2k + -12j2 + 2j2k2

Reorder the terms:
-12j2 = 12j2 + -12j2 + 6j2k + 2j2k2

Combine like terms: 12j2 + -12j2 = 0
-12j2 = 0 + 6j2k + 2j2k2
-12j2 = 6j2k + 2j2k2

Add '-6j2k' to each side of the equation.
-12j2 + -6j2k = 6j2k + -6j2k + 2j2k2

Combine like terms: 6j2k + -6j2k = 0
-12j2 + -6j2k = 0 + 2j2k2
-12j2 + -6j2k = 2j2k2

Add '-2j2k2' to each side of the equation.
-12j2 + -6j2k + -2j2k2 = 2j2k2 + -2j2k2

Combine like terms: 2j2k2 + -2j2k2 = 0
-12j2 + -6j2k + -2j2k2 = 0

Factor out the Greatest Common Factor (GCF), '-2j2'.
-2j2(6 + 3k + k2) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'j2' equal to zero and attempt to solve:

Simplifying
j2 = 0

Solving
j2 = 0

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

Simplifying
j2 = 0

Take the square root of each side:
j = {0}
Subproblem 2
Set the factor '(6 + 3k + k2)' equal to zero and attempt to solve:

Simplifying
6 + 3k + k2 = 0

Solving
6 + 3k + k2 = 0

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

Add '-6' to each side of the equation.
6 + 3k + -6 + k2 = 0 + -6

Reorder the terms:
6 + -6 + 3k + k2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3k + k2 = 0 + -6
3k + k2 = 0 + -6

Combine like terms: 0 + -6 = -6
3k + k2 = -6

Add '-3k' to each side of the equation.
3k + -3k + k2 = -6 + -3k

Combine like terms: 3k + -3k = 0
0 + k2 = -6 + -3k
k2 = -6 + -3k

Add '-1k2' to each side of the equation.
k2 + -1k2 = -6 + -3k + -1k2

Combine like terms: k2 + -1k2 = 0
0 = -6 + -3k + -1k2

Simplifying
0 = -6 + -3k + -1k2

The solution to this equation could not be determined.

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