750=-16x^2+1700

Solution for 750=-16x^2+1700 equation:

750=-16x^2+1700

We move all terms to the left:

750-(-16x^2+1700)=0

We get rid of parentheses

16x^2-1700+750=0

We add all the numbers together, and all the variables

16x^2-950=0

a = 16; b = 0; c = -950;
Δ = b2-4ac
Δ = 02-4·16·(-950)
Δ = 60800
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:

$\sqrt{\Delta}=\sqrt{60800}=\sqrt{1600*38}=\sqrt{1600}*\sqrt{38}=40\sqrt{38}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{38}}{2*16}=\frac{0-40\sqrt{38}}{32}
=-\frac{40\sqrt{38}}{32}
=-\frac{5\sqrt{38}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{38}}{2*16}=\frac{0+40\sqrt{38}}{32}
=\frac{40\sqrt{38}}{32}
=\frac{5\sqrt{38}}{4}
$