9m^2-15m-1116=0

Solution for 9m^2-15m-1116=0 equation:

9m^2-15m-1116=0

a = 9; b = -15; c = -1116;
Δ = b2-4ac
Δ = -152-4·9·(-1116)
Δ = 40401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40401}=201$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-201}{2*9}=\frac{-186}{18}
=-10+1/3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+201}{2*9}=\frac{216}{18}
=12
$