Hi,
3x^2-5x-3=0
Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: 
For these solutions to exist, the discriminantshould not be a negative number. 
First, we need to compute the discriminant: . 
Discriminant d=61 is greater than zero. That means that there are two solutions:. 
Quadratic expressioncan be factored: 
Again, the answer is: 2.13504161265111, -0.468374945984442. Here's your graph: