0=-8x^2+37x+200

Solution for 0=-8x^2+37x+200 equation:

0=-8x^2+37x+200

We move all terms to the left:

0-(-8x^2+37x+200)=0

We add all the numbers together, and all the variables

-(-8x^2+37x+200)=0

We get rid of parentheses

8x^2-37x-200=0

a = 8; b = -37; c = -200;
Δ = b2-4ac
Δ = -372-4·8·(-200)
Δ = 7769
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-\sqrt{7769}}{2*8}=\frac{37-\sqrt{7769}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{7769}}{2*8}=\frac{37+\sqrt{7769}}{16}
$