60t*50t=300

Solution for 60t*50t=300 equation:

60t*50t=300

We move all terms to the left:

60t*50t-(300)=0

Wy multiply elements

3000t^2-300=0

a = 3000; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·3000·(-300)
Δ = 3600000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3600000}=\sqrt{360000*10}=\sqrt{360000}*\sqrt{10}=600\sqrt{10}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-600\sqrt{10}}{2*3000}=\frac{0-600\sqrt{10}}{6000}
=-\frac{600\sqrt{10}}{6000}
=-\frac{\sqrt{10}}{10}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+600\sqrt{10}}{2*3000}=\frac{0+600\sqrt{10}}{6000}
=\frac{600\sqrt{10}}{6000}
=\frac{\sqrt{10}}{10}
$