00:01
This question, we have to solve the equation by a factoring.
00:04
So, x over x plus 4 plus 1 over x minus 4 is given as 16 over x square plus 4x.
00:14
So on the left side, i'm going to take the lcim as x times x plus 4.
00:18
So the numerator over here will become x, x times x square plus this will become x plus 4, minus this will become four times x times x plus four once again so that is equal to 16 over x square plus four x so definitely uh in the numerator i'm going to simplify so x squared plus x plus four remains as it is and minus four remains as it is and we simplify this so that will be x square plus four x over here over x times x plus four in fact that can also be distributed by writing x squared plus four plus 4x.
00:57
So that is equal to 16 over x squared plus 4x.
01:00
So these two are cancered.
01:03
And let's simplify this even further.
01:06
So this will become x squared plus x plus 4 minus 4x square minus 16 x is equal to 16.
01:16
So that will become x squared minus 4x squared is minus 3x square.
01:21
X minus 16 x is minus 15x.
01:24
And subtracting both sides by 16, so 4 minus 16 will be.
01:27
Minus 12 that is equal to 0.
01:29
Dividing both sides by minus 3, we have x squared plus 5x plus 4 is equal to 0...