(y-50)(y=9)

Solution for (y-50)(y=9) equation:

(y-50)(y=9)

We move all terms to the left:

(y-50)(y-(9))=0

We multiply parentheses ..

(+y^2-9y-50y+450)=0

We get rid of parentheses

y^2-9y-50y+450=0

We add all the numbers together, and all the variables

y^2-59y+450=0

a = 1; b = -59; c = +450;
Δ = b2-4ac
Δ = -592-4·1·450
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-41}{2*1}=\frac{18}{2}
=9
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+41}{2*1}=\frac{100}{2}
=50
$