(m-12)(6m-3)=0

Solution for (m-12)(6m-3)=0 equation:

(m-12)(6m-3)=0

We multiply parentheses ..

(+6m^2-3m-72m+36)=0

We get rid of parentheses

6m^2-3m-72m+36=0

We add all the numbers together, and all the variables

6m^2-75m+36=0

a = 6; b = -75; c = +36;
Δ = b2-4ac
Δ = -752-4·6·36
Δ = 4761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4761}=69$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-69}{2*6}=\frac{6}{12}
=1/2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+69}{2*6}=\frac{144}{12}
=12
$