0.25q^2-2q=30

Solution for 0.25q^2-2q=30 equation:

0.25q^2-2q=30

We move all terms to the left:

0.25q^2-2q-(30)=0

a = 0.25; b = -2; c = -30;
Δ = b2-4ac
Δ = -22-4·0.25·(-30)
Δ = 34
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-\sqrt{34}}{2*0.25}=\frac{2-\sqrt{34}}{0.5}
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{34}}{2*0.25}=\frac{2+\sqrt{34}}{0.5}
$