96m^2-88m-8=0

Solution for 96m^2-88m-8=0 equation:

96m^2-88m-8=0

a = 96; b = -88; c = -8;
Δ = b2-4ac
Δ = -882-4·96·(-8)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-104}{2*96}=\frac{-16}{192}
=-1/12
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+104}{2*96}=\frac{192}{192}
=1
$