5x^2-33x+63=0

Solution for 5x^2-33x+63=0 equation:

Simplifying
5x2 + -33x + 63 = 0

Reorder the terms:
63 + -33x + 5x2 = 0

Solving
63 + -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'.
12.6 + -6.6x + x2 = 0

Move the constant term to the right:

Add '-12.6' to each side of the equation.
12.6 + -6.6x + -12.6 + x2 = 0 + -12.6

Reorder the terms:
12.6 + -12.6 + -6.6x + x2 = 0 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + -6.6x + x2 = 0 + -12.6
-6.6x + x2 = 0 + -12.6

Combine like terms: 0 + -12.6 = -12.6
-6.6x + x2 = -12.6

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 = -12.6 + 10.89

Reorder the terms:
10.89 + -6.6x + x2 = -12.6 + 10.89

Combine like terms: -12.6 + 10.89 = -1.71
10.89 + -6.6x + x2 = -1.71

Factor a perfect square on the left side:
(x + -3.3)(x + -3.3) = -1.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.