15x^2+4x+3=0

Solution for 15x^2+4x+3=0 equation:

Simplifying
15x2 + 4x + 3 = 0

Reorder the terms:
3 + 4x + 15x2 = 0

Solving
3 + 4x + 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'.
0.2 + 0.2666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 0.2666666667x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 0.2666666667x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.2666666667x + x2 = 0 + -0.2
0.2666666667x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
0.2666666667x + x2 = -0.2

The x term is 0.2666666667x.  Take half its coefficient (0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
0.2666666667x + 0.01777777780 + x2 = -0.2 + 0.01777777780

Reorder the terms:
0.01777777780 + 0.2666666667x + x2 = -0.2 + 0.01777777780

Combine like terms: -0.2 + 0.01777777780 = -0.1822222222
0.01777777780 + 0.2666666667x + x2 = -0.1822222222

Factor a perfect square on the left side:
(x + 0.1333333334)(x + 0.1333333334) = -0.1822222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.