12s^2-8s+12=0

Solution for 12s^2-8s+12=0 equation:

Simplifying
12s2 + -8s + 12 = 0

Reorder the terms:
12 + -8s + 12s2 = 0

Solving
12 + -8s + 12s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -2s + 3s2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -2s + 3s2)' equal to zero and attempt to solve:

Simplifying
3 + -2s + 3s2 = 0

Solving
3 + -2s + 3s2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1 + -0.6666666667s + s2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6666666667s + -1 + s2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6666666667s + s2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6666666667s + s2 = 0 + -1
-0.6666666667s + s2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6666666667s + s2 = -1

The s term is -0.6666666667s.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667s + 0.1111111112 + s2 = -1 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667s + s2 = -1 + 0.1111111112

Combine like terms: -1 + 0.1111111112 = -0.8888888888
0.1111111112 + -0.6666666667s + s2 = -0.8888888888

Factor a perfect square on the left side:
(s + -0.3333333334)(s + -0.3333333334) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.