Y=16b2+60b-100

Solution for Y=16b2+60b-100 equation:

=16Y^2+60Y-100

We move all terms to the left:

-(16Y^2+60Y-100)=0

We get rid of parentheses

-16Y^2-60Y+100=0

a = -16; b = -60; c = +100;
Δ = b2-4ac
Δ = -602-4·(-16)·100
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-100}{2*-16}=\frac{-40}{-32}
=1+1/4
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+100}{2*-16}=\frac{160}{-32}
=-5
$