3q^2-20q=0

Solution for 3q^2-20q=0 equation:

3q^2-20q=0

a = 3; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·3·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*3}=\frac{0}{6}
=0
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*3}=\frac{40}{6}
=6+2/3
$