0=-2.7t^2+40t-11.5

Solution for 0=-2.7t^2+40t-11.5 equation:

0=-2.7t^2+40t-11.5

We move all terms to the left:

0-(-2.7t^2+40t-11.5)=0

We add all the numbers together, and all the variables

-(-2.7t^2+40t-11.5)=0

We get rid of parentheses

2.7t^2-40t+11.5=0

a = 2.7; b = -40; c = +11.5;
Δ = b2-4ac
Δ = -402-4·2.7·11.5
Δ = 1475.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-\sqrt{1475.8}}{2*2.7}=\frac{40-\sqrt{1475.8}}{5.4}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+\sqrt{1475.8}}{2*2.7}=\frac{40+\sqrt{1475.8}}{5.4}
$