(166m+3)(130m-7)=0

Solution for (166m+3)(130m-7)=0 equation:

(166m+3)(130m-7)=0

We multiply parentheses ..

(+21580m^2-1162m+390m-21)=0

We get rid of parentheses

21580m^2-1162m+390m-21=0

We add all the numbers together, and all the variables

21580m^2-772m-21=0

a = 21580; b = -772; c = -21;
Δ = b2-4ac
Δ = -7722-4·21580·(-21)
Δ = 2408704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2408704}=1552$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-772)-1552}{2*21580}=\frac{-780}{43160}
=-3/166
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-772)+1552}{2*21580}=\frac{2324}{43160}
=7/130
$