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x-8=9x+28/x
We move all terms to the left:
x-8-(9x+28/x)=0
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
x-(+9x+28/x)-8=0
We get rid of parentheses
x-9x-28/x-8=0
We multiply all the terms by the denominator
x*x-9x*x-8*x-28=0
We add all the numbers together, and all the variables
-8x+x*x-9x*x-28=0
Wy multiply elements
x^2-9x^2-8x-28=0
We add all the numbers together, and all the variables
-8x^2-8x-28=0
a = -8; b = -8; c = -28;
Δ = b2-4ac
Δ = -82-4·(-8)·(-28)
Δ = -832
Delta is less than zero, so there is no solution for the equation
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