Solve the equation x^2 + 10x + 24 = 0

x² + 10x + 24 = 0
First we must factorise the equation, which means put it into brackets. To do this we must find two numbers which multiply to equal 24 and add together to make 10. The only two numbers that can do this are 6 and 4. We then write out the equation like this:
(x+6)(x+4)=0
There are two possible solutions to this equation. In order for (x+6)(x+4) to equal 0, either (x+6) must equal 0, or (x+4) must equal 0. Therefore the solutions are:
x = -6 or x = -4