10k2-20k=30

Solution for 10k2-20k=30 equation:

10k^2-20k=30

We move all terms to the left:

10k^2-20k-(30)=0

a = 10; b = -20; c = -30;
Δ = b2-4ac
Δ = -202-4·10·(-30)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-40}{2*10}=\frac{-20}{20}
=-1
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+40}{2*10}=\frac{60}{20}
=3
$