(2s-12)(12s-2)=0

Solution for (2s-12)(12s-2)=0 equation:

Simplifying
(2s + -12)(12s + -2) = 0

Reorder the terms:
(-12 + 2s)(12s + -2) = 0

Reorder the terms:
(-12 + 2s)(-2 + 12s) = 0

Multiply (-12 + 2s) * (-2 + 12s)
(-12(-2 + 12s) + 2s * (-2 + 12s)) = 0
((-2 * -12 + 12s * -12) + 2s * (-2 + 12s)) = 0
((24 + -144s) + 2s * (-2 + 12s)) = 0
(24 + -144s + (-2 * 2s + 12s * 2s)) = 0
(24 + -144s + (-4s + 24s2)) = 0

Combine like terms: -144s + -4s = -148s
(24 + -148s + 24s2) = 0

Solving
24 + -148s + 24s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -37s + 6s2) = 0

Factor a trinomial.
4((1 + -6s)(6 + -1s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -6s)' equal to zero and attempt to solve:

Simplifying
1 + -6s = 0

Solving
1 + -6s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6s = 0 + -1
-6s = 0 + -1

Combine like terms: 0 + -1 = -1
-6s = -1

Divide each side by '-6'.
s = 0.1666666667

Simplifying
s = 0.1666666667
Subproblem 2
Set the factor '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 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 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {0.1666666667, 6}