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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 $
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