(12a-3a^2)/(34a^2)=0

Solution for (12a-3a^2)/(34a^2)=0 equation:

(12a-3a^2)/(34a^2)=0


Domain of the equation: 34a^2!=0

a^2!=0/34

a^2!=√0

a!=0

a∈R


We multiply all the terms by the denominator


(12a-3a^2)=0

We get rid of parentheses

-3a^2+12a=0

a = -3; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-3)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-3}=\frac{-24}{-6}
=+4
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-3}=\frac{0}{-6}
=0
$