3/2x+14/2x+18=4/x+9

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Solution for 3/2x+14/2x+18=4/x+9 equation: 



3/2x+14/2x+18=4/x+9

We move all terms to the left:

3/2x+14/2x+18-(4/x+9)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: x+9)!=0

x∈R



We get rid of parentheses

3/2x+14/2x-4/x-9+18=0

We calculate fractions


(14x+3)/2x^2+(-8x)/2x^2-9+18=0

We add all the numbers together, and all the variables

(14x+3)/2x^2+(-8x)/2x^2+9=0

We multiply all the terms by the denominator


(14x+3)+(-8x)+9*2x^2=0

Wy multiply elements

18x^2+(14x+3)+(-8x)=0

We get rid of parentheses

18x^2+14x-8x+3=0

We add all the numbers together, and all the variables

18x^2+6x+3=0

a = 18; b = 6; c = +3;
Δ = b2-4ac
Δ = 62-4·18·3
Δ = -180
Delta is less than zero, so there is no solution for the equation

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