-35m^2-17m-2=0

Solution for -35m^2-17m-2=0 equation:

-35m^2-17m-2=0

a = -35; b = -17; c = -2;
Δ = b2-4ac
Δ = -172-4·(-35)·(-2)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-3}{2*-35}=\frac{14}{-70}
=-1/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+3}{2*-35}=\frac{20}{-70}
=-2/7
$