0.386x^2+1.665x-41.995=0

Solution for 0.386x^2+1.665x-41.995=0 equation:

0.386x^2+1.665x-41.995=0

a = 0.386; b = 1.665; c = -41.995;
Δ = b2-4ac
Δ = 1.6652-4·0.386·(-41.995)
Δ = 67.612505
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{-(1.665)-\sqrt{67.612505}}{2*0.386}=\frac{-1.665-\sqrt{67.612505}}{0.772}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.665)+\sqrt{67.612505}}{2*0.386}=\frac{-1.665+\sqrt{67.612505}}{0.772}
$