200=-9t^2+776

Solution for 200=-9t^2+776 equation:

200=-9t^2+776

We move all terms to the left:

200-(-9t^2+776)=0

We get rid of parentheses

9t^2-776+200=0

We add all the numbers together, and all the variables

9t^2-576=0

a = 9; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·9·(-576)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*9}=\frac{-144}{18}
=-8
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*9}=\frac{144}{18}
=8
$