5/4+2/3z=4-2+8/12z

Solution for 5/4+2/3z=4-2+8/12z equation:

5/4+2/3z=4-2+8/12z

We move all terms to the left:

5/4+2/3z-(4-2+8/12z)=0


Domain of the equation: 3z!=0

z!=0/3

z!=0

z∈R



Domain of the equation: 12z)!=0

z!=0/1

z!=0

z∈R


We add all the numbers together, and all the variables

2/3z-(8/12z+2)+5/4=0

We get rid of parentheses

2/3z-8/12z-2+5/4=0

We calculate fractions


180z^2/576z^2+384z/576z^2+(-384z)/576z^2-2=0

We multiply all the terms by the denominator


180z^2+384z+(-384z)-2*576z^2=0

Wy multiply elements

180z^2-1152z^2+384z+(-384z)=0

We get rid of parentheses

180z^2-1152z^2+384z-384z=0

We add all the numbers together, and all the variables

-972z^2=0

a = -972; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-972)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$z=\frac{-b}{2a}=\frac{0}{-1944}=0$