5m^2-13m-6m=0

Solution for 5m^2-13m-6m=0 equation:

5m^2-13m-6m=0

We add all the numbers together, and all the variables

5m^2-19m=0

a = 5; b = -19; c = 0;
Δ = b2-4ac
Δ = -192-4·5·0
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-19}{2*5}=\frac{0}{10}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+19}{2*5}=\frac{38}{10}
=3+4/5
$