12m(3m+24)=9(

Solution for 12m(3m+24)=9( equation:

12m(3m+24)=9(

We move all terms to the left:

12m(3m+24)-(9()=0

We add all the numbers together, and all the variables

12m(3m+24)=0

We multiply parentheses

36m^2+288m=0

a = 36; b = 288; c = 0;
Δ = b2-4ac
Δ = 2882-4·36·0
Δ = 82944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{82944}=288$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(288)-288}{2*36}=\frac{-576}{72}
=-8
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(288)+288}{2*36}=\frac{0}{72}
=0
$