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

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

Simplifying
6x2 + 10x + 6 = -3

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

Solving
6 + 10x + 6x2 = -3

Solving for variable 'x'.

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

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

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

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

Divide each side by '6'.
1.5 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1.666666667x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 1.666666667x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.666666667x + x2 = 0 + -1.5
1.666666667x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
1.666666667x + x2 = -1.5

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = -1.5 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = -1.5 + 0.6944444447

Combine like terms: -1.5 + 0.6944444447 = -0.8055555553
0.6944444447 + 1.666666667x + x2 = -0.8055555553

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = -0.8055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.