381=4.9x^2+x

Solution for 381=4.9x^2+x equation:

381=4.9x^2+x

We move all terms to the left:

381-(4.9x^2+x)=0

We get rid of parentheses

-4.9x^2-x+381=0

We add all the numbers together, and all the variables

-4.9x^2-1x+381=0

a = -4.9; b = -1; c = +381;
Δ = b2-4ac
Δ = -12-4·(-4.9)·381
Δ = 7468.6
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)-\sqrt{7468.6}}{2*-4.9}=\frac{1-\sqrt{7468.6}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{7468.6}}{2*-4.9}=\frac{1+\sqrt{7468.6}}{-9.8}
$