50t=600t^2

Solution for 50t=600t^2 equation:

50t=600t^2

We move all terms to the left:

50t-(600t^2)=0

determiningTheFunctionDomain
-600t^2+50t=0

a = -600; b = 50; c = 0;
Δ = b2-4ac
Δ = 502-4·(-600)·0
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-50}{2*-600}=\frac{-100}{-1200}
=1/12
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+50}{2*-600}=\frac{0}{-1200}
=0
$