x-1/x=x+2

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Solution for x-1/x=x+2 equation: 



x-1/x=x+2

We move all terms to the left:

x-1/x-(x+2)=0



Domain of the equation: x!=0

x∈R



We get rid of parentheses

x-1/x-x-2=0

We multiply all the terms by the denominator


x*x-x*x-2*x-1=0

We add all the numbers together, and all the variables

-2x+x*x-x*x-1=0

Wy multiply elements

x^2-1x^2-2x-1=0

We add all the numbers together, and all the variables

-2x-1=0

We move all terms containing x to the left, all other terms to the right

-2x=1

x=1/-2

x=-1/2

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