-4.8x2-1.6x+24=0

Solution for -4.8x2-1.6x+24=0 equation:

-4.8x^2-1.6x+24=0

a = -4.8; b = -1.6; c = +24;
Δ = b2-4ac
Δ = -1.62-4·(-4.8)·24
Δ = 463.36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.6)-\sqrt{463.36}}{2*-4.8}=\frac{1.6-\sqrt{463.36}}{-9.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.6)+\sqrt{463.36}}{2*-4.8}=\frac{1.6+\sqrt{463.36}}{-9.6}
$