y=(16y-8)(168y+24)

Solution for y=(16y-8)(168y+24) equation:

y=(16y-8)(168y+24)

We move all terms to the left:

y-((16y-8)(168y+24))=0

We multiply parentheses ..

-((+2688y^2+384y-1344y-192))+y=0


We calculate terms in parentheses: -((+2688y^2+384y-1344y-192)), so:

(+2688y^2+384y-1344y-192)

We get rid of parentheses

2688y^2+384y-1344y-192

We add all the numbers together, and all the variables

2688y^2-960y-192

Back to the equation:

-(2688y^2-960y-192)


We add all the numbers together, and all the variables

y-(2688y^2-960y-192)=0

We get rid of parentheses

-2688y^2+y+960y+192=0

We add all the numbers together, and all the variables

-2688y^2+961y+192=0

a = -2688; b = 961; c = +192;
Δ = b2-4ac
Δ = 9612-4·(-2688)·192
Δ = 2987905
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(961)-\sqrt{2987905}}{2*-2688}=\frac{-961-\sqrt{2987905}}{-5376}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(961)+\sqrt{2987905}}{2*-2688}=\frac{-961+\sqrt{2987905}}{-5376}
$