1.6t(t-6)=0.8

Solution for 1.6t(t-6)=0.8 equation:

1.6t(t-6)=0.8

We move all terms to the left:

1.6t(t-6)-(0.8)=0

We add all the numbers together, and all the variables

1.6t(t-6)-0.8=0

We multiply parentheses

t^2-6t-0.8=0

a = 1; b = -6; c = -0.8;
Δ = b2-4ac
Δ = -62-4·1·(-0.8)
Δ = 39.2
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{-(-6)-\sqrt{39.2}}{2*1}=\frac{6-\sqrt{39.2}}{2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+\sqrt{39.2}}{2*1}=\frac{6+\sqrt{39.2}}{2}
$