60t=600t^2

Solution for 60t=600t^2 equation:

60t=600t^2

We move all terms to the left:

60t-(600t^2)=0

determiningTheFunctionDomain
-600t^2+60t=0

a = -600; b = 60; c = 0;
Δ = b2-4ac
Δ = 602-4·(-600)·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60}{2*-600}=\frac{-120}{-1200}
=1/10
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60}{2*-600}=\frac{0}{-1200}
=0
$