30=3w^2-w

Solution for 30=3w^2-w equation:

30=3w^2-w

We move all terms to the left:

30-(3w^2-w)=0

We get rid of parentheses

-3w^2+w+30=0

a = -3; b = 1; c = +30;
Δ = b2-4ac
Δ = 12-4·(-3)·30
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-19}{2*-3}=\frac{-20}{-6}
=3+1/3
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+19}{2*-3}=\frac{18}{-6}
=-3
$