3r^2+4r+3=0

Solution for 3r^2+4r+3=0 equation:

Simplifying
3r2 + 4r + 3 = 0

Reorder the terms:
3 + 4r + 3r2 = 0

Solving
3 + 4r + 3r2 = 0

Solving for variable 'r'.

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

Divide each side by '3'.
1 + 1.333333333r + r2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.333333333r + -1 + r2 = 0 + -1

Reorder the terms:
1 + -1 + 1.333333333r + r2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.333333333r + r2 = 0 + -1
1.333333333r + r2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.333333333r + r2 = -1

The r term is 1.333333333r.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333r + 0.4444444442 + r2 = -1 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333r + r2 = -1 + 0.4444444442

Combine like terms: -1 + 0.4444444442 = -0.5555555558
0.4444444442 + 1.333333333r + r2 = -0.5555555558

Factor a perfect square on the left side:
(r + 0.6666666665)(r + 0.6666666665) = -0.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.