(5m-6)(m-4)=0

Solution for (5m-6)(m-4)=0 equation:

(5m-6)(m-4)=0

We multiply parentheses ..

(+5m^2-20m-6m+24)=0

We get rid of parentheses

5m^2-20m-6m+24=0

We add all the numbers together, and all the variables

5m^2-26m+24=0

a = 5; b = -26; c = +24;
Δ = b2-4ac
Δ = -262-4·5·24
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-14}{2*5}=\frac{12}{10}
=1+1/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+14}{2*5}=\frac{40}{10}
=4
$