SOLUTION: solve for the variable, first stating any restrictions. if there are no restrictions, state that 7/x+4 + 2/x-3 = 7x-21/x^2+x-12

Question 232481: solve for the variable, first stating any restrictions. if there are no restrictions, state that
7/x+4 + 2/x-3 = 7x-21/x^2+x-12
Answer by eggsarecool(46) (Show Source): You can put this solution on YOUR website!
I am assuming this is the original problem, it wasn't completely clear.
the next step is to rewrite the right hand side.
Now we state the restrictions, these happen when you divide by 0. So x cannot equal to 3 or -4
Your next step is to create a common denominator on the left side.

Now we will only pay attention to the numerators since the denominators match.
This gives us.

Now combine like terms.

subtract 9x from both sides.

add 13 to both sides

Divide both sides by 2.

This gives you the solution but since this is among the values that are not allowed your equation has no solution.
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