3a/a+4=4a+2=3a

Solution for 3a/a+4=4a+2=3a equation:

3a/a+4=4a+2=3a

We move all terms to the left:

3a/a+4-(4a+2)=0


Domain of the equation: a!=0

a∈R


We get rid of parentheses

3a/a-4a-2+4=0

We multiply all the terms by the denominator


3a-4a*a-2*a+4*a=0

We add all the numbers together, and all the variables

5a-4a*a=0

Wy multiply elements

-4a^2+5a=0

a = -4; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-4)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-4}=\frac{-10}{-8}
=1+1/4
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-4}=\frac{0}{-8}
=0
$