SOLUTION: How do I solve the equation x+1=2/x step by step?

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Question 416262: How do I solve the equation x+1=2/x step by step?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Solving for x
x%2B1+=+2%2Fx+ |Multiplying thru x
x^2 + x = 2
x^2 + x -2 = 0 |Setting Polynomial to zero
factoring
(x+2)(x-1)= 0 Note:SUM of the inner product(2x) and the outer product(-x) =x
(x+2)=0 x = -2
(x-1)= 0 x = 1
CHECKING our Answer(s)***
-1 = 2/-2 = -1
2 = 2/1 = 2