600a-12a^2=0

Solution for 600a-12a^2=0 equation:

600a-12a^2=0

a = -12; b = 600; c = 0;
Δ = b2-4ac
Δ = 6002-4·(-12)·0
Δ = 360000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{360000}=600$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(600)-600}{2*-12}=\frac{-1200}{-24}
=+50
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(600)+600}{2*-12}=\frac{0}{-24}
=0
$