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

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

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

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

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

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

Combine like terms: -4s + -12s = -16s
(24 + -16s + 2s2) = 0

Solving
24 + -16s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -8s + s2) = 0

Factor a trinomial.
2((2 + -1s)(6 + -1s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

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

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

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

Divide each side by '-1'.
s = 2

Simplifying
s = 2
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 = {2, 6}