X^2=-3.8x

Solution for X^2=-3.8x equation:

X^2=-3.8X

We move all terms to the left:

X^2-(-3.8X)=0

We get rid of parentheses

X^2+3.8X=0

a = 1; b = 3.8; c = 0;
Δ = b2-4ac
Δ = 3.82-4·1·0
Δ = 14.44
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{-(3.8)-\sqrt{14.44}}{2*1}=\frac{-3.8-\sqrt{14.44}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.8)+\sqrt{14.44}}{2*1}=\frac{-3.8+\sqrt{14.44}}{2}
$