15x^2+31x+24=0

Solution for 15x^2+31x+24=0 equation:

Simplifying
15x2 + 31x + 24 = 0

Reorder the terms:
24 + 31x + 15x2 = 0

Solving
24 + 31x + 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'.
1.6 + 2.066666667x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 2.066666667x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 2.066666667x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 2.066666667x + x2 = 0 + -1.6
2.066666667x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
2.066666667x + x2 = -1.6

The x term is 2.066666667x.  Take half its coefficient (1.033333334).
Square it (1.067777779) and add it to both sides.

Add '1.067777779' to each side of the equation.
2.066666667x + 1.067777779 + x2 = -1.6 + 1.067777779

Reorder the terms:
1.067777779 + 2.066666667x + x2 = -1.6 + 1.067777779

Combine like terms: -1.6 + 1.067777779 = -0.532222221
1.067777779 + 2.066666667x + x2 = -0.532222221

Factor a perfect square on the left side:
(x + 1.033333334)(x + 1.033333334) = -0.532222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.