6m(-5-m)=0

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

6m(-5-m)=0

We add all the numbers together, and all the variables

6m(-1m-5)=0

We multiply parentheses

-6m^2-30m=0

a = -6; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·(-6)·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*-6}=\frac{0}{-12}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*-6}=\frac{60}{-12}
=-5
$