3x^2+10x+3=-6

Solution for 3x^2+10x+3=-6 equation:

Simplifying
3x2 + 10x + 3 = -6

Reorder the terms:
3 + 10x + 3x2 = -6

Solving
3 + 10x + 3x2 = -6

Solving for variable 'x'.

Reorder the terms:
3 + 6 + 10x + 3x2 = -6 + 6

Combine like terms: 3 + 6 = 9
9 + 10x + 3x2 = -6 + 6

Combine like terms: -6 + 6 = 0
9 + 10x + 3x2 = 0

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

Divide each side by '3'.
3 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 3.333333333x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 3.333333333x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3.333333333x + x2 = 0 + -3
3.333333333x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
3.333333333x + x2 = -3

The x term is 3.333333333x.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333x + 2.777777779 + x2 = -3 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = -3 + 2.777777779

Combine like terms: -3 + 2.777777779 = -0.222222221
2.777777779 + 3.333333333x + x2 = -0.222222221

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = -0.222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.