Solve this quadratic equation by factorising: x^2-x-6=0

In order to solve this equation (x²-x-6=0) using the factorising method, you should first find the two numbers that mutiply to -6 and add to -1. The two numbers that do this are 2 and -3. Therefore, (x+2) (x-3)=0. The values of x should be calculated where the brackets are multiplied to equal zero. This means that (x+2)=0 or (x-3)=0. Therefore x=-2 or x=3. In order to check if the calculations are correct, substitute the x values back into the original quadratic formula where it should equal zero.