x*(1+1/x)+17=3*(2-x)

Solution for x*(1+1/x)+17=3*(2-x) equation:

x(1+1/x)+17=3(2-x)

We move all terms to the left:

x(1+1/x)+17-(3(2-x))=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x(1/x+1)-(3(-1x+2))+17=0

We multiply parentheses

x^2+x-(3(-1x+2))+17=0


We calculate terms in parentheses: -(3(-1x+2)), so:

3(-1x+2)

We multiply parentheses

-3x+6

Back to the equation:

-(-3x+6)


We get rid of parentheses

x^2+x+3x-6+17=0

We add all the numbers together, and all the variables

x^2+4x+11=0

a = 1; b = 4; c = +11;
Δ = b2-4ac
Δ = 42-4·1·11
Δ = -28
Delta is less than zero, so there is no solution for the equation