(8m+5)(6m+7)=0

Solution for (8m+5)(6m+7)=0 equation:

(8m+5)(6m+7)=0

We multiply parentheses ..

(+48m^2+56m+30m+35)=0

We get rid of parentheses

48m^2+56m+30m+35=0

We add all the numbers together, and all the variables

48m^2+86m+35=0

a = 48; b = 86; c = +35;
Δ = b2-4ac
Δ = 862-4·48·35
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{-(86)-26}{2*48}=\frac{-112}{96}
=-1+1/6
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(86)+26}{2*48}=\frac{-60}{96}
=-5/8
$