5r^2+3r+3=0

Solution for 5r^2+3r+3=0 equation:

Simplifying
5r2 + 3r + 3 = 0

Reorder the terms:
3 + 3r + 5r2 = 0

Solving
3 + 3r + 5r2 = 0

Solving for variable 'r'.

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

Divide each side by '5'.
0.6 + 0.6r + r2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.6r + -0.6 + r2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.6r + r2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.6r + r2 = 0 + -0.6
0.6r + r2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.6r + r2 = -0.6

The r term is 0.6r.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6r + 0.09 + r2 = -0.6 + 0.09

Reorder the terms:
0.09 + 0.6r + r2 = -0.6 + 0.09

Combine like terms: -0.6 + 0.09 = -0.51
0.09 + 0.6r + r2 = -0.51

Factor a perfect square on the left side:
(r + 0.3)(r + 0.3) = -0.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.