(x^2-3x-28)/(x-1)=x

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Solution for (x^2-3x-28)/(x-1)=x equation:



(x^2-3x-28)/(x-1)=x
We move all terms to the left:
(x^2-3x-28)/(x-1)-(x)=0
Domain of the equation: (x-1)!=0
We move all terms containing x to the left, all other terms to the right
x!=1
x∈R
We add all the numbers together, and all the variables
-1x+(x^2-3x-28)/(x-1)=0
We multiply all the terms by the denominator
-1x*(x-1)+(x^2-3x-28)=0
We multiply parentheses
-x^2+1x+(x^2-3x-28)=0
We get rid of parentheses
-x^2+x^2+1x-3x-28=0
We add all the numbers together, and all the variables
-2x-28=0
We move all terms containing x to the left, all other terms to the right
-2x=28
x=28/-2
x=-14

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