(-m-7)(6m-5)=0

Solution for (-m-7)(6m-5)=0 equation:

(-m-7)(6m-5)=0

We add all the numbers together, and all the variables

(-1m-7)(6m-5)=0

We multiply parentheses ..

(-6m^2+5m-42m+35)=0

We get rid of parentheses

-6m^2+5m-42m+35=0

We add all the numbers together, and all the variables

-6m^2-37m+35=0

a = -6; b = -37; c = +35;
Δ = b2-4ac
Δ = -372-4·(-6)·35
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-47}{2*-6}=\frac{-10}{-12}
=5/6
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+47}{2*-6}=\frac{84}{-12}
=-7
$