(5m+6)(12m-12)=0

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

(5m+6)(12m-12)=0

We multiply parentheses ..

(+60m^2-60m+72m-72)=0

We get rid of parentheses

60m^2-60m+72m-72=0

We add all the numbers together, and all the variables

60m^2+12m-72=0

a = 60; b = 12; c = -72;
Δ = b2-4ac
Δ = 122-4·60·(-72)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-132}{2*60}=\frac{-144}{120}
=-1+1/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+132}{2*60}=\frac{120}{120}
=1
$