(5m+1)(6m+1)=0

Solution for (5m+1)(6m+1)=0 equation:

(5m+1)(6m+1)=0

We multiply parentheses ..

(+30m^2+5m+6m+1)=0

We get rid of parentheses

30m^2+5m+6m+1=0

We add all the numbers together, and all the variables

30m^2+11m+1=0

a = 30; b = 11; c = +1;
Δ = b2-4ac
Δ = 112-4·30·1
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{-(11)-1}{2*30}=\frac{-12}{60}
=-1/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+1}{2*30}=\frac{-10}{60}
=-1/6
$