13x^2+18x+9=0

Solution for 13x^2+18x+9=0 equation:

Simplifying
13x2 + 18x + 9 = 0

Reorder the terms:
9 + 18x + 13x2 = 0

Solving
9 + 18x + 13x2 = 0

Solving for variable 'x'.

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

Divide each side by '13'.
0.6923076923 + 1.384615385x + x2 = 0

Move the constant term to the right:

Add '-0.6923076923' to each side of the equation.
0.6923076923 + 1.384615385x + -0.6923076923 + x2 = 0 + -0.6923076923

Reorder the terms:
0.6923076923 + -0.6923076923 + 1.384615385x + x2 = 0 + -0.6923076923

Combine like terms: 0.6923076923 + -0.6923076923 = 0.0000000000
0.0000000000 + 1.384615385x + x2 = 0 + -0.6923076923
1.384615385x + x2 = 0 + -0.6923076923

Combine like terms: 0 + -0.6923076923 = -0.6923076923
1.384615385x + x2 = -0.6923076923

The x term is 1.384615385x.  Take half its coefficient (0.6923076925).
Square it (0.4792899411) and add it to both sides.

Add '0.4792899411' to each side of the equation.
1.384615385x + 0.4792899411 + x2 = -0.6923076923 + 0.4792899411

Reorder the terms:
0.4792899411 + 1.384615385x + x2 = -0.6923076923 + 0.4792899411

Combine like terms: -0.6923076923 + 0.4792899411 = -0.2130177512
0.4792899411 + 1.384615385x + x2 = -0.2130177512

Factor a perfect square on the left side:
(x + 0.6923076925)(x + 0.6923076925) = -0.2130177512

Can't calculate square root of the right side.

The solution to this equation could not be determined.