6x^2+13x+18=0

Solution for 6x^2+13x+18=0 equation:

Simplifying
6x2 + 13x + 18 = 0

Reorder the terms:
18 + 13x + 6x2 = 0

Solving
18 + 13x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
3 + 2.166666667x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2.166666667x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 2.166666667x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2.166666667x + x2 = 0 + -3
2.166666667x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
2.166666667x + x2 = -3

The x term is 2.166666667x.  Take half its coefficient (1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
2.166666667x + 1.173611113 + x2 = -3 + 1.173611113

Reorder the terms:
1.173611113 + 2.166666667x + x2 = -3 + 1.173611113

Combine like terms: -3 + 1.173611113 = -1.826388887
1.173611113 + 2.166666667x + x2 = -1.826388887

Factor a perfect square on the left side:
(x + 1.083333334)(x + 1.083333334) = -1.826388887

Can't calculate square root of the right side.

The solution to this equation could not be determined.