750=(-16x^2)+220x

Solution for 750=(-16x^2)+220x equation:

750=(-16x^2)+220x

We move all terms to the left:

750-((-16x^2)+220x)=0


We calculate terms in parentheses: -((-16x^2)+220x), so:

(-16x^2)+220x

We get rid of parentheses

-16x^2+220x

Back to the equation:

-(-16x^2+220x)


We get rid of parentheses

16x^2-220x+750=0

a = 16; b = -220; c = +750;
Δ = b2-4ac
Δ = -2202-4·16·750
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-220)-20}{2*16}=\frac{200}{32}
=6+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-220)+20}{2*16}=\frac{240}{32}
=7+1/2
$