3s(s-2)=12s

Solution for 3s(s-2)=12s equation:

Simplifying
3s(s + -2) = 12s

Reorder the terms:
3s(-2 + s) = 12s
(-2 * 3s + s * 3s) = 12s
(-6s + 3s2) = 12s

Solving
-6s + 3s2 = 12s

Solving for variable 's'.

Reorder the terms:
-6s + -12s + 3s2 = 12s + -12s

Combine like terms: -6s + -12s = -18s
-18s + 3s2 = 12s + -12s

Combine like terms: 12s + -12s = 0
-18s + 3s2 = 0

Factor out the Greatest Common Factor (GCF), '3s'.
3s(-6 + s) = 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 + s)' equal to zero and attempt to solve:

Simplifying
-6 + s = 0

Solving
-6 + s = 0

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

Add '6' to each side of the equation.
-6 + 6 + s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + s = 0 + 6
s = 0 + 6

Combine like terms: 0 + 6 = 6
s = 6

Simplifying
s = 6
Solution
s = {0, 6}