Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 5, 0

We are given the quadratic equation .

Note that if x=0, both sides of the equation are equal to 0.

So x=0 is a solution. 

For , then we can divide both sides of the equation by x, and we get x=-5.

Thus, the solution set is {0, -5}.

Remark: another way to solve the equation is to take -5x to the left hand side:

                            ,

then we factorize x as 

                              .

Thus we see that x is either 0, or -5.