(-4m+6)(3m+2)=0

Solution for (-4m+6)(3m+2)=0 equation:

(-4m+6)(3m+2)=0

We multiply parentheses ..

(-12m^2-8m+18m+12)=0

We get rid of parentheses

-12m^2-8m+18m+12=0

We add all the numbers together, and all the variables

-12m^2+10m+12=0

a = -12; b = 10; c = +12;
Δ = b2-4ac
Δ = 102-4·(-12)·12
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-26}{2*-12}=\frac{-36}{-24}
=1+1/2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+26}{2*-12}=\frac{16}{-24}
=-2/3
$