6/x+1-3/2x=5+9/2x

Solution for 6/x+1-3/2x=5+9/2x equation:

6/x+1-3/2x=5+9/2x

We move all terms to the left:

6/x+1-3/2x-(5+9/2x)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

6/x-3/2x-(9/2x+5)+1=0

We get rid of parentheses

6/x-3/2x-9/2x-5+1=0

We calculate fractions


12x/2x^2+(-9x-3)/2x^2-5+1=0

We add all the numbers together, and all the variables

12x/2x^2+(-9x-3)/2x^2-4=0

We multiply all the terms by the denominator


12x+(-9x-3)-4*2x^2=0

Wy multiply elements

-8x^2+12x+(-9x-3)=0

We get rid of parentheses

-8x^2+12x-9x-3=0

We add all the numbers together, and all the variables

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

a = -8; b = 3; c = -3;
Δ = b2-4ac
Δ = 32-4·(-8)·(-3)
Δ = -87
Delta is less than zero, so there is no solution for the equation