3m2=-9-12m

Solution for 3m2=-9-12m equation:

3m^2=-9-12m

We move all terms to the left:

3m^2-(-9-12m)=0

We add all the numbers together, and all the variables

3m^2-(-12m-9)=0

We get rid of parentheses

3m^2+12m+9=0

a = 3; b = 12; c = +9;
Δ = b2-4ac
Δ = 122-4·3·9
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-6}{2*3}=\frac{-18}{6}
=-3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+6}{2*3}=\frac{-6}{6}
=-1
$