y.6(y+5)=54

Solution for y.6(y+5)=54 equation:

y.6(y+5)=54

We move all terms to the left:

y.6(y+5)-(54)=0

We multiply parentheses

y^2+5y-54=0

a = 1; b = 5; c = -54;
Δ = b2-4ac
Δ = 52-4·1·(-54)
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{-(5)-\sqrt{241}}{2*1}=\frac{-5-\sqrt{241}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{241}}{2*1}=\frac{-5+\sqrt{241}}{2}
$