y(2y-9)=830

Solution for y(2y-9)=830 equation:

y(2y-9)=830

We move all terms to the left:

y(2y-9)-(830)=0

We multiply parentheses

2y^2-9y-830=0

a = 2; b = -9; c = -830;
Δ = b2-4ac
Δ = -92-4·2·(-830)
Δ = 6721
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{-(-9)-\sqrt{6721}}{2*2}=\frac{9-\sqrt{6721}}{4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{6721}}{2*2}=\frac{9+\sqrt{6721}}{4}
$