12/3a=4a

Solution for 12/3a=4a equation:

12/3a=4a

We move all terms to the left:

12/3a-(4a)=0


Domain of the equation: 3a!=0

a!=0/3

a!=0

a∈R


We add all the numbers together, and all the variables

-4a+12/3a=0

We multiply all the terms by the denominator


-4a*3a+12=0

Wy multiply elements

-12a^2+12=0

a = -12; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-12)·12
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-12}=\frac{-24}{-24}
=1
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-12}=\frac{24}{-24}
=-1
$