11x^2+23x+210=0

Solution for 11x^2+23x+210=0 equation:

Simplifying
11x2 + 23x + 210 = 0

Reorder the terms:
210 + 23x + 11x2 = 0

Solving
210 + 23x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
19.09090909 + 2.090909091x + x2 = 0

Move the constant term to the right:

Add '-19.09090909' to each side of the equation.
19.09090909 + 2.090909091x + -19.09090909 + x2 = 0 + -19.09090909

Reorder the terms:
19.09090909 + -19.09090909 + 2.090909091x + x2 = 0 + -19.09090909

Combine like terms: 19.09090909 + -19.09090909 = 0.00000000
0.00000000 + 2.090909091x + x2 = 0 + -19.09090909
2.090909091x + x2 = 0 + -19.09090909

Combine like terms: 0 + -19.09090909 = -19.09090909
2.090909091x + x2 = -19.09090909

The x term is 2.090909091x.  Take half its coefficient (1.045454546).
Square it (1.092975208) and add it to both sides.

Add '1.092975208' to each side of the equation.
2.090909091x + 1.092975208 + x2 = -19.09090909 + 1.092975208

Reorder the terms:
1.092975208 + 2.090909091x + x2 = -19.09090909 + 1.092975208

Combine like terms: -19.09090909 + 1.092975208 = -17.997933882
1.092975208 + 2.090909091x + x2 = -17.997933882

Factor a perfect square on the left side:
(x + 1.045454546)(x + 1.045454546) = -17.997933882

Can't calculate square root of the right side.

The solution to this equation could not be determined.