9t=15t^2

Solution for 9t=15t^2 equation:

9t=15t^2

We move all terms to the left:

9t-(15t^2)=0

determiningTheFunctionDomain
-15t^2+9t=0

a = -15; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·(-15)·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*-15}=\frac{-18}{-30}
=3/5
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*-15}=\frac{0}{-30}
=0
$