4s^2-8s+6=0

Solution for 4s^2-8s+6=0 equation:

Simplifying
4s2 + -8s + 6 = 0

Reorder the terms:
6 + -8s + 4s2 = 0

Solving
6 + -8s + 4s2 = 0

Solving for variable 's'.

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

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

Simplifying
3 + -4s + 2s2 = 0

Solving
3 + -4s + 2s2 = 0

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

Divide each side by '2'.
1.5 + -2s + s2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2s + -1.5 + s2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2s + s2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2s + s2 = 0 + -1.5
-2s + s2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2s + s2 = -1.5

The s term is -2s.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2s + 1 + s2 = -1.5 + 1

Reorder the terms:
1 + -2s + s2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + -2s + s2 = -0.5

Factor a perfect square on the left side:
(s + -1)(s + -1) = -0.5

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.