3s(6t^4-2s^2-3t-6)=

Solution for 3s(6t^4-2s^2-3t-6)= equation:

Simplifying
3s(6t4 + -2s2 + -3t + -6) = 0

Reorder the terms:
3s(-6 + -2s2 + -3t + 6t4) = 0
(-6 * 3s + -2s2 * 3s + -3t * 3s + 6t4 * 3s) = 0

Reorder the terms:
(-18s + -9st + 18st4 + -6s3) = 0
(-18s + -9st + 18st4 + -6s3) = 0

Solving
-18s + -9st + 18st4 + -6s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3s'.
3s(-6 + -3t + 6t4 + -2s2) = 0

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

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(-6 + -3t + 6t4 + -2s2)' equal to zero and attempt to solve:

Simplifying
-6 + -3t + 6t4 + -2s2 = 0

Reorder the terms:
-6 + -2s2 + -3t + 6t4 = 0

Solving
-6 + -2s2 + -3t + 6t4 = 0

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

Add '6' to each side of the equation.
-6 + -2s2 + -3t + 6 + 6t4 = 0 + 6

Reorder the terms:
-6 + 6 + -2s2 + -3t + 6t4 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2s2 + -3t + 6t4 = 0 + 6
-2s2 + -3t + 6t4 = 0 + 6

Combine like terms: 0 + 6 = 6
-2s2 + -3t + 6t4 = 6

Add '3t' to each side of the equation.
-2s2 + -3t + 3t + 6t4 = 6 + 3t

Combine like terms: -3t + 3t = 0
-2s2 + 0 + 6t4 = 6 + 3t
-2s2 + 6t4 = 6 + 3t

Add '-6t4' to each side of the equation.
-2s2 + 6t4 + -6t4 = 6 + 3t + -6t4

Combine like terms: 6t4 + -6t4 = 0
-2s2 + 0 = 6 + 3t + -6t4
-2s2 = 6 + 3t + -6t4

Divide each side by '-2'.
s2 = -3 + -1.5t + 3t4

Simplifying
s2 = -3 + -1.5t + 3t4

The solution to this equation could not be determined.

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