What is/are the value or values of the variable that make(s)...

What is/are the value or values of the variable that make(s) the denominators of\\ $\frac{x}{7(x+5)} = -\frac{10}{x+5} + \frac{6}{7}$ equal to zero?\\ $x = $\\ Solve the rational equation: $\frac{x}{7(x+5)} = -\frac{10}{x+5} + \frac{6}{7}$

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Transcript

00:01 Okay, so we have a rational function in this one.

00:05 And when we have rational functions, we have to pay attention to what makes the denominator zero.

00:10 All right, so let's take a look at these.

00:12 I have two different denominators that have x's in them.

00:16 And so that means my 5x plus 10 cannot equal zero.

00:20 Or if i solve that, that means 5x cannot equal negative 10 or x cannot be negative 2.

00:26 So there's one of them.

00:28 And then my other one is x plus 2.

00:30 And so that means that my x cannot be negative two.

00:34 Okay, so that's a repeating one.

00:36 But we would say we can get any answer we want except for negative two.

00:43 All right.

00:44 So the variables or the value of the variables make the denominator zero, we would say x is equal to negative two.

00:52 All right, let's look at the letter b here.

00:53 So i select the correct choice below and fill in the answer about to put your choices.

00:58 All right.

00:58 So it says the solution set is.

01:03 So let's go ahead.

01:04 Let's solve this.

01:06 Let's figure out what the solution is.

01:07 So i got 4 over 5x plus 10 is equal to 8 over x plus 2 minus 6 over 5.

01:18 All right.

01:19 Now, i'm going to look at the very first fraction here, this 5x plus 10...

Question

What is/are the value or values of the variable that make(s) the denominators of\\ $\frac{x}{7(x+5)} = -\frac{10}{x+5} + \frac{6}{7}$ equal to zero?\\ $x = $\\ Solve the rational equation: $\frac{x}{7(x+5)} = -\frac{10}{x+5} + \frac{6}{7}$

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