12(4r-5/6r)+20=19r-5+45/2r

Solution for 12(4r-5/6r)+20=19r-5+45/2r equation:

12(4r-5/6r)+20=19r-5+45/2r

We move all terms to the left:

12(4r-5/6r)+20-(19r-5+45/2r)=0


Domain of the equation: 6r)!=0

r!=0/1

r!=0

r∈R



Domain of the equation: 2r)!=0

r!=0/1

r!=0

r∈R


We add all the numbers together, and all the variables

12(+4r-5/6r)-(19r+45/2r-5)+20=0

We multiply parentheses

48r-60r-(19r+45/2r-5)+20=0

We get rid of parentheses

48r-60r-19r-45/2r+5+20=0

We multiply all the terms by the denominator


48r*2r-60r*2r-19r*2r+5*2r+20*2r-45=0

Wy multiply elements

96r^2-120r^2-38r^2+10r+40r-45=0

We add all the numbers together, and all the variables

-62r^2+50r-45=0

a = -62; b = 50; c = -45;
Δ = b2-4ac
Δ = 502-4·(-62)·(-45)
Δ = -8660
Delta is less than zero, so there is no solution for the equation