please help 2- a-10/a+4 = a^2-2/a+4
\[\frac{2 - a -10}{a+4} = \frac{a^2 -2}{a+4} \]
Is that what it looks like?
yes
Okay, well the first thing I would do is try to factor the numerators to see if we can cancel anything
except for 2- then the a-10/a+4= a^2-2/a+4
If there is something that's in parentheses let me know
no, its not in parentheses
so the fraction is correct as written, right?
yes
Okay, hold on
1. Okay, so basically the only thing that simplifies is 2 - a - 10. It simplifies to -a - 8. 2. We will need to cross multiply: \[\frac{-(a+8)}{a+4}=\frac{a^2-2}{a+4}\]
3. The result of cross multiplying gives us: \[-(a+8)(a+4)=(a^2-2)(a+4)\]
Now we will have to multiply everything back out. We can't divide both sides by (a+4) because it will eliminate one of the solutions for the variable a
\[-a^2-12a-32 = a^3+4a^2-2a-8\]
Now we will have to move like terms on one side:
Put the variables on one side and put the last coefficients on the other side
\[a^3 +3a^2 +10a = -24\]
this is still somewhat confusing to me, but I am trying to understand it more
Wait a minute..let me post twiddla. You can post how the problem looks on there
Okay, so it all came out to: \[a^2 - a - 20\] (a-5)(a+4)
So the solution is a = 5, -4
so -4 is the other solution for a
lost connection to to other
That's okay
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