12.6a/0.003a=a

Solution for 12.6a/0.003a=a equation:

12.6a/0.003a=a

We move all terms to the left:

12.6a/0.003a-(a)=0


Domain of the equation: 0.003a!=0

a!=0/0.003

a!=0

a∈R


We add all the numbers together, and all the variables

-1a+12.6a/0.003a=0

We multiply all the terms by the denominator


-1a*0.003a+12.6a=0

We add all the numbers together, and all the variables

12.6a-1a*0.003a=0

Wy multiply elements

0a^2+12.6a=0

We add all the numbers together, and all the variables

a^2+12.6a=0

a = 1; b = 12.6; c = 0;
Δ = b2-4ac
Δ = 12.62-4·1·0
Δ = 158.76
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12.6)-\sqrt{158.76}}{2*1}=\frac{-12.6-\sqrt{158.76}}{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12.6)+\sqrt{158.76}}{2*1}=\frac{-12.6+\sqrt{158.76}}{2}
$