ShmoopTube

00:02

And here's your math-y shmoop du jour...

00:05

If 3x squared + 2x all over 3x + 2 = 1, then x is equal to which of the following?

00:12

And here are the potential answers...

00:16

It's asking us to find what x equals to make this equation true.

00:20

This looks like a pretty messy equation...so we gotta simplify things first.

00:24

The numerator looks like it can be factored into x times 3x + 2.

00:29

Hey look... 3x + 2 is in the numerator and denominator...

00:34

...which means we can cancel those two out for all x's as long as 3x + 2 isn't zero.

00:40

3x + 2 is zero when x equals -2/3.

00:44

...so we have to remember that -2/3 is not a valid solution.

00:48

We're left with x equals one... ...and it looks like the answer is (C).

00:59

Ah, the truth has been achieved. We are going to sleep well tonight.

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