To solve the equation by factoring, we first rearrange the equation to set it to zero:
Next, we can factor out the greatest common factor (GCF), which is :
This gives us one solution immediately:
Now, we need to factor the quadratic . We look for two numbers that multiply to -3 (the constant term) and add to -2 (the coefficient of x). The numbers that satisfy this condition are -3 and 1. Therefore, we can rewrite the quadratic as: