3r^2-78r=0

Solution for 3r^2-78r=0 equation:

3r^2-78r=0

a = 3; b = -78; c = 0;
Δ = b2-4ac
Δ = -782-4·3·0
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78)-78}{2*3}=\frac{0}{6}
=0
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+78}{2*3}=\frac{156}{6}
=26
$