0=-4t^2+776+200

Solution for 0=-4t^2+776+200 equation:

0=-4t^2+776+200

We move all terms to the left:

0-(-4t^2+776+200)=0

We add all the numbers together, and all the variables

-(-4t^2+776+200)=0

We get rid of parentheses

4t^2-776-200=0

We add all the numbers together, and all the variables

4t^2-976=0

a = 4; b = 0; c = -976;
Δ = b2-4ac
Δ = 02-4·4·(-976)
Δ = 15616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{15616}=\sqrt{256*61}=\sqrt{256}*\sqrt{61}=16\sqrt{61}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{61}}{2*4}=\frac{0-16\sqrt{61}}{8}
=-\frac{16\sqrt{61}}{8}
=-2\sqrt{61}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{61}}{2*4}=\frac{0+16\sqrt{61}}{8}
=\frac{16\sqrt{61}}{8}
=2\sqrt{61}
$