(2m-1)(3m-1)=0

Solution for (2m-1)(3m-1)=0 equation:

(2m-1)(3m-1)=0

We multiply parentheses ..

(+6m^2-2m-3m+1)=0

We get rid of parentheses

6m^2-2m-3m+1=0

We add all the numbers together, and all the variables

6m^2-5m+1=0

a = 6; b = -5; c = +1;
Δ = b2-4ac
Δ = -52-4·6·1
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-1}{2*6}=\frac{4}{12}
=1/3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+1}{2*6}=\frac{6}{12}
=1/2
$