20s^2-11s+3=0

Solution for 20s^2-11s+3=0 equation:

Simplifying
20s2 + -11s + 3 = 0

Reorder the terms:
3 + -11s + 20s2 = 0

Solving
3 + -11s + 20s2 = 0

Solving for variable 's'.

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

Divide each side by '20'.
0.15 + -0.55s + s2 = 0

Move the constant term to the right:

Add '-0.15' to each side of the equation.
0.15 + -0.55s + -0.15 + s2 = 0 + -0.15

Reorder the terms:
0.15 + -0.15 + -0.55s + s2 = 0 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.55s + s2 = 0 + -0.15
-0.55s + s2 = 0 + -0.15

Combine like terms: 0 + -0.15 = -0.15
-0.55s + s2 = -0.15

The s term is -0.55s.  Take half its coefficient (-0.275).
Square it (0.075625) and add it to both sides.

Add '0.075625' to each side of the equation.
-0.55s + 0.075625 + s2 = -0.15 + 0.075625

Reorder the terms:
0.075625 + -0.55s + s2 = -0.15 + 0.075625

Combine like terms: -0.15 + 0.075625 = -0.074375
0.075625 + -0.55s + s2 = -0.074375

Factor a perfect square on the left side:
(s + -0.275)(s + -0.275) = -0.074375

Can't calculate square root of the right side.

The solution to this equation could not be determined.