5x^2-33x+56=0

Solution for 5x^2-33x+56=0 equation:

Simplifying
5x2 + -33x + 56 = 0

Reorder the terms:
56 + -33x + 5x2 = 0

Solving
56 + -33x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
11.2 + -6.6x + x2 = 0

Move the constant term to the right:

Add '-11.2' to each side of the equation.
11.2 + -6.6x + -11.2 + x2 = 0 + -11.2

Reorder the terms:
11.2 + -11.2 + -6.6x + x2 = 0 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + -6.6x + x2 = 0 + -11.2
-6.6x + x2 = 0 + -11.2

Combine like terms: 0 + -11.2 = -11.2
-6.6x + x2 = -11.2

The x term is -6.6x.  Take half its coefficient (-3.3).
Square it (10.89) and add it to both sides.

Add '10.89' to each side of the equation.
-6.6x + 10.89 + x2 = -11.2 + 10.89

Reorder the terms:
10.89 + -6.6x + x2 = -11.2 + 10.89

Combine like terms: -11.2 + 10.89 = -0.31
10.89 + -6.6x + x2 = -0.31

Factor a perfect square on the left side:
(x + -3.3)(x + -3.3) = -0.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.