SOLUTION: Hi can you please show me how to solve for x for the following problem: 4/(6-x) + x^2/(6-x) = 2 I know you find the LCD (which i think is 6-x?) but then where do you go from ther

Question 396194: Hi can you please show me how to solve for x for the following problem:
4/(6-x) + x^2/(6-x) = 2
I know you find the LCD (which i think is 6-x?) but then where do you go from there?
Thank you so much!
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

 |multiplying @ term by (6-x) so as all denominators=1

  4 + x^2 = 2(6-x)

solving for x

  4 + x^2 = 12 - 2x

 x^2 + 2x - 8 = 0 

factoring

(x+4)(x-2)= 0  Note:SUM of the inner product(4x) and the outer product(-2x) = 2x

(x+4)=0    x = -4

(x-2)= 0

   x = 2 

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