.3214x^2-4.6572x+30.6=0

Solution for .3214x^2-4.6572x+30.6=0 equation:

Simplifying
0.3214x2 + -4.6572x + 30.6 = 0

Reorder the terms:
30.6 + -4.6572x + 0.3214x2 = 0

Solving
30.6 + -4.6572x + 0.3214x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.3214 the coefficient of the squared term: 

Divide each side by '0.3214'.
95.20846297 + -14.4903547x + x2 = 0

Move the constant term to the right:

Add '-95.20846297' to each side of the equation.
95.20846297 + -14.4903547x + -95.20846297 + x2 = 0 + -95.20846297

Reorder the terms:
95.20846297 + -95.20846297 + -14.4903547x + x2 = 0 + -95.20846297

Combine like terms: 95.20846297 + -95.20846297 = 0.00000000
0.00000000 + -14.4903547x + x2 = 0 + -95.20846297
-14.4903547x + x2 = 0 + -95.20846297

Combine like terms: 0 + -95.20846297 = -95.20846297
-14.4903547x + x2 = -95.20846297

The x term is -14.4903547x.  Take half its coefficient (-7.24517735).
Square it (52.49259483) and add it to both sides.

Add '52.49259483' to each side of the equation.
-14.4903547x + 52.49259483 + x2 = -95.20846297 + 52.49259483

Reorder the terms:
52.49259483 + -14.4903547x + x2 = -95.20846297 + 52.49259483

Combine like terms: -95.20846297 + 52.49259483 = -42.71586814
52.49259483 + -14.4903547x + x2 = -42.71586814

Factor a perfect square on the left side:
(x + -7.24517735)(x + -7.24517735) = -42.71586814

Can't calculate square root of the right side.

The solution to this equation could not be determined.