A vertical asymptote is what you get when you try to divide by 0. To find where you get these, you need to look at the denominator and what values of x will make the denominator equal to 0.
In your denominator, you have (x+7)(x-5)(x-3).
What values of x makes (x+7)(x-5)(x-3)=0?
If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.
Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.
So the short version: Asymptotes happen when you try to divide by zero. Dividing by zero is not a good thing. So you just ask yourself, “What will make the denominator 0?”
Answer: A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in² A=54in²
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Let x= original number
equation: 2x+24=2/7 x
move 2x over to the other side of the equation to get 24=-12/7 x. Then, multiply both sides of the equation by -7/12 to isolate the variable.
The final answer should be x=-14
The answer is x=1/2 or 0.5
