20*x^2-11*x+32=0

Solution for 20*x^2-11*x+32=0 equation:

Simplifying
20x2 + -11x + 32 = 0

Reorder the terms:
32 + -11x + 20x2 = 0

Solving
32 + -11x + 20x2 = 0

Solving for variable 'x'.

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

Divide each side by '20'.
1.6 + -0.55x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -0.55x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -0.55x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.55x + x2 = 0 + -1.6
-0.55x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-0.55x + x2 = -1.6

The x term is -0.55x.  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.
-0.55x + 0.075625 + x2 = -1.6 + 0.075625

Reorder the terms:
0.075625 + -0.55x + x2 = -1.6 + 0.075625

Combine like terms: -1.6 + 0.075625 = -1.524375
0.075625 + -0.55x + x2 = -1.524375

Factor a perfect square on the left side:
(x + -0.275)(x + -0.275) = -1.524375

Can't calculate square root of the right side.

The solution to this equation could not be determined.