y(y-3)=58

Solution for y(y-3)=58 equation:

y(y-3)=58

We move all terms to the left:

y(y-3)-(58)=0

We multiply parentheses

y^2-3y-58=0

a = 1; b = -3; c = -58;
Δ = b2-4ac
Δ = -32-4·1·(-58)
Δ = 241
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{-(-3)-\sqrt{241}}{2*1}=\frac{3-\sqrt{241}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{241}}{2*1}=\frac{3+\sqrt{241}}{2}
$