-6t^2+120t=0

Solution for -6t^2+120t=0 equation:

-6t^2+120t=0

a = -6; b = 120; c = 0;
Δ = b2-4ac
Δ = 1202-4·(-6)·0
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-120}{2*-6}=\frac{-240}{-12}
=+20
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+120}{2*-6}=\frac{0}{-12}
=0
$