1600=y(y-2)

Solution for 1600=y(y-2) equation:

1600=y(y-2)

We move all terms to the left:

1600-(y(y-2))=0


We calculate terms in parentheses: -(y(y-2)), so:

y(y-2)

We multiply parentheses

y^2-2y

Back to the equation:

-(y^2-2y)


We get rid of parentheses

-y^2+2y+1600=0

We add all the numbers together, and all the variables

-1y^2+2y+1600=0

a = -1; b = 2; c = +1600;
Δ = b2-4ac
Δ = 22-4·(-1)·1600
Δ = 6404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6404}=\sqrt{4*1601}=\sqrt{4}*\sqrt{1601}=2\sqrt{1601}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{1601}}{2*-1}=\frac{-2-2\sqrt{1601}}{-2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{1601}}{2*-1}=\frac{-2+2\sqrt{1601}}{-2}
$