-54y(y-94)=y+37

Solution for -54y(y-94)=y+37 equation:

-54y(y-94)=y+37

We move all terms to the left:

-54y(y-94)-(y+37)=0

We multiply parentheses

-54y^2+5076y-(y+37)=0

We get rid of parentheses

-54y^2+5076y-y-37=0

We add all the numbers together, and all the variables

-54y^2+5075y-37=0

a = -54; b = 5075; c = -37;
Δ = b2-4ac
Δ = 50752-4·(-54)·(-37)
Δ = 25747633
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{-(5075)-\sqrt{25747633}}{2*-54}=\frac{-5075-\sqrt{25747633}}{-108}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5075)+\sqrt{25747633}}{2*-54}=\frac{-5075+\sqrt{25747633}}{-108}
$