6m(12m-5)=0

Solution for 6m(12m-5)=0 equation:

6m(12m-5)=0

We multiply parentheses

72m^2-30m=0

a = 72; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·72·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*72}=\frac{0}{144}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*72}=\frac{60}{144}
=5/12
$