Y(x)=-16x2+128x

Solution for Y(x)=-16x2+128x equation:

(Y)=-16Y^2+128Y

We move all terms to the left:

(Y)-(-16Y^2+128Y)=0

We get rid of parentheses

16Y^2-128Y+Y=0

We add all the numbers together, and all the variables

16Y^2-127Y=0

a = 16; b = -127; c = 0;
Δ = b2-4ac
Δ = -1272-4·16·0
Δ = 16129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16129}=127$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-127)-127}{2*16}=\frac{0}{32}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-127)+127}{2*16}=\frac{254}{32}
=7+15/16
$