2m(5m-6)=0

Solution for 2m(5m-6)=0 equation:

2m(5m-6)=0

We multiply parentheses

10m^2-12m=0

a = 10; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·10·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*10}=\frac{0}{20}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*10}=\frac{24}{20}
=1+1/5
$