0=-16x^2-30x+600

Solution for 0=-16x^2-30x+600 equation:

0=-16x^2-30x+600

We move all terms to the left:

0-(-16x^2-30x+600)=0

We add all the numbers together, and all the variables

-(-16x^2-30x+600)=0

We get rid of parentheses

16x^2+30x-600=0

a = 16; b = 30; c = -600;
Δ = b2-4ac
Δ = 302-4·16·(-600)
Δ = 39300
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{39300}=\sqrt{100*393}=\sqrt{100}*\sqrt{393}=10\sqrt{393}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10\sqrt{393}}{2*16}=\frac{-30-10\sqrt{393}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10\sqrt{393}}{2*16}=\frac{-30+10\sqrt{393}}{32}
$