(4m+6)*(3m+6)=0

Solution for (4m+6)*(3m+6)=0 equation:

(4m+6)(3m+6)=0

We multiply parentheses ..

(+12m^2+24m+18m+36)=0

We get rid of parentheses

12m^2+24m+18m+36=0

We add all the numbers together, and all the variables

12m^2+42m+36=0

a = 12; b = 42; c = +36;
Δ = b2-4ac
Δ = 422-4·12·36
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{-(42)-6}{2*12}=\frac{-48}{24}
=-2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+6}{2*12}=\frac{-36}{24}
=-1+1/2
$