(44t-16t^2)-24=0

Solution for (44t-16t^2)-24=0 equation:

(44t-16t^2)-24=0

We get rid of parentheses

-16t^2+44t-24=0

a = -16; b = 44; c = -24;
Δ = b2-4ac
Δ = 442-4·(-16)·(-24)
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{-(44)-20}{2*-16}=\frac{-64}{-32}
=+2
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+20}{2*-16}=\frac{-24}{-32}
=3/4
$