Factoring Equations

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To factor equations, determine what the two terms of an equation have in common, pull out the common factor and use parenthesis to combine the left over equation. Solve an equation after it has been factored with help from a math teacher in this free video math lesson.

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Video Transcript

So how do you do factoring equations? Hi, I'm Jimmy. I've been teaching college mathematics for nine years now and I'm here to give you a few basics as to how to do factoring equations. Now the phrase says it all, factoring equations which require you to factor so I am going to give you a couple of quick examples to show you exactly how you would solve after you have factored those terms. Now the first example we are going to go over is something of the variety of for example x2 3x = 0. Now what you want to do first to factor the equation is to see if you can't factor something and in other words see what the two terms have in common. Now both of them obviously they both have an x so you are going to go ahead and pull out or factor an x and then what you are going to do is start a parentheses to see what is left over. Now for example you have taken 1x from x2 so there is going to be an X left over and then X x what is going to give you 3x and that is going to be 3 and so you still have = to 0 on the other side. Once you have something in factored form now you can go ahead and split these two parts into two separate equations. In other words x = 0 and x 3 = 0. Now if you take a look, however, this x = 0 is already an answer so that is already covered whereas for this equation all you need to do is subtract 3 on both sides so you are left with x = to -3 and that is going to give you your other solution. Now here is another equation that you might see. x2 7x 12 = 0. Now to do this one you can write two parentheses and ask yourself, well how do I split x2 into two separate pieces? x and x and as for the 12 what you need to think about is what two numbers multiply to give me 12 but add to give you 7. Now this is where your multiplication tables become very important. Well the only two numbers that fit that description are 3 and 4 because 3 x 4 = 12 but 3 4 = 7 so that is where the pluses come in and just like we did up there split the up as two separate equations and then solve for each of them individually, subtract 3 on both sides and then subtract 4 on both sides so therefore you have two solutions. So I'm Jimmy and that is how you do factoring equations.


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