15x^2+19x+9=0

Solution for 15x^2+19x+9=0 equation:

Simplifying
15x2 + 19x + 9 = 0

Reorder the terms:
9 + 19x + 15x2 = 0

Solving
9 + 19x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
0.6 + 1.266666667x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 1.266666667x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 1.266666667x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 1.266666667x + x2 = 0 + -0.6
1.266666667x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
1.266666667x + x2 = -0.6

The x term is 1.266666667x.  Take half its coefficient (0.6333333335).
Square it (0.4011111113) and add it to both sides.

Add '0.4011111113' to each side of the equation.
1.266666667x + 0.4011111113 + x2 = -0.6 + 0.4011111113

Reorder the terms:
0.4011111113 + 1.266666667x + x2 = -0.6 + 0.4011111113

Combine like terms: -0.6 + 0.4011111113 = -0.1988888887
0.4011111113 + 1.266666667x + x2 = -0.1988888887

Factor a perfect square on the left side:
(x + 0.6333333335)(x + 0.6333333335) = -0.1988888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.