2t2+20t+-2550=0

Solution for 2t2+20t+-2550=0 equation:

2t^2+20t+-2550=0

We add all the numbers together, and all the variables

2t^2+20t=0

a = 2; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·2·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*2}=\frac{-40}{4}
=-10
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*2}=\frac{0}{4}
=0
$