6(m+9)(m-2)=0

Solution for 6(m+9)(m-2)=0 equation:

6(m+9)(m-2)=0

We multiply parentheses ..

6(+m^2-2m+9m-18)=0

We multiply parentheses

6m^2-12m+54m-108=0

We add all the numbers together, and all the variables

6m^2+42m-108=0

a = 6; b = 42; c = -108;
Δ = b2-4ac
Δ = 422-4·6·(-108)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-66}{2*6}=\frac{-108}{12}
=-9
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+66}{2*6}=\frac{24}{12}
=2
$