0=-2.7t^2+60t+6.5

Solution for 0=-2.7t^2+60t+6.5 equation:

0=-2.7t^2+60t+6.5

We move all terms to the left:

0-(-2.7t^2+60t+6.5)=0

We add all the numbers together, and all the variables

-(-2.7t^2+60t+6.5)=0

We get rid of parentheses

2.7t^2-60t-6.5=0

a = 2.7; b = -60; c = -6.5;
Δ = b2-4ac
Δ = -602-4·2.7·(-6.5)
Δ = 3670.2
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{-(-60)-\sqrt{3670.2}}{2*2.7}=\frac{60-\sqrt{3670.2}}{5.4}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+\sqrt{3670.2}}{2*2.7}=\frac{60+\sqrt{3670.2}}{5.4}
$