WEBVTT

1
00:00:00.000 --> 00:00:05.828
Here is the problem: x/(x plus 7) plus 7/(x plus 6) equals 1.

2
00:00:06.278 --> 00:00:07.439
Solve for x.

3
00:00:08.239 --> 00:00:09.702
Start with the equation.

4
00:00:10.152 --> 00:00:26.371
Multiply both sides by x ^ 2 +13 cdot x plus 42 to clear the fractions. This is only valid where x ^ 2 plus 13 times x plus 42 not equal to 0, so any value that makes it zero is excluded at the end.

5
00:00:26.821 --> 00:00:29.689
Move every term to one side and simplify.

6
00:00:30.489 --> 00:00:32.405
So the answer is No solution.

7
00:00:32.855 --> 00:00:37.836
The variable cancels and leaves a false statement, so no value of x works.