a/3a*6a=30

Solution for a/3a*6a=30 equation:

a/3a*6a=30

We move all terms to the left:

a/3a*6a-(30)=0


Domain of the equation: 3a*6a!=0

a!=0/1

a!=0

a∈R


We multiply all the terms by the denominator


a-30*3a*6a=0

Wy multiply elements

-540a^2*6+a=0

Wy multiply elements

-3240a^2+a=0

a = -3240; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-3240)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-3240}=\frac{-2}{-6480}
=1/3240
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-3240}=\frac{0}{-6480}
=0
$