-15m^2-73m+10=0

Solution for -15m^2-73m+10=0 equation:

-15m^2-73m+10=0

a = -15; b = -73; c = +10;
Δ = b2-4ac
Δ = -732-4·(-15)·10
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-77}{2*-15}=\frac{-4}{-30}
=2/15
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+77}{2*-15}=\frac{150}{-30}
=-5
$