5t^2-105t=1350

Solution for 5t^2-105t=1350 equation:

5t^2-105t=1350

We move all terms to the left:

5t^2-105t-(1350)=0

a = 5; b = -105; c = -1350;
Δ = b2-4ac
Δ = -1052-4·5·(-1350)
Δ = 38025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{38025}=195$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105)-195}{2*5}=\frac{-90}{10}
=-9
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105)+195}{2*5}=\frac{300}{10}
=30
$