20w^2=11w-3

Solution for 20w^2=11w-3 equation:

Simplifying
20w2 = 11w + -3

Reorder the terms:
20w2 = -3 + 11w

Solving
20w2 = -3 + 11w

Solving for variable 'w'.

Reorder the terms:
3 + -11w + 20w2 = -3 + 11w + 3 + -11w

Reorder the terms:
3 + -11w + 20w2 = -3 + 3 + 11w + -11w

Combine like terms: -3 + 3 = 0
3 + -11w + 20w2 = 0 + 11w + -11w
3 + -11w + 20w2 = 11w + -11w

Combine like terms: 11w + -11w = 0
3 + -11w + 20w2 = 0

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

Divide each side by '20'.
0.15 + -0.55w + w2 = 0

Move the constant term to the right:

Add '-0.15' to each side of the equation.
0.15 + -0.55w + -0.15 + w2 = 0 + -0.15

Reorder the terms:
0.15 + -0.15 + -0.55w + w2 = 0 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.55w + w2 = 0 + -0.15
-0.55w + w2 = 0 + -0.15

Combine like terms: 0 + -0.15 = -0.15
-0.55w + w2 = -0.15

The w term is -0.55w.  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.
-0.55w + 0.075625 + w2 = -0.15 + 0.075625

Reorder the terms:
0.075625 + -0.55w + w2 = -0.15 + 0.075625

Combine like terms: -0.15 + 0.075625 = -0.074375
0.075625 + -0.55w + w2 = -0.074375

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.