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(s-7)s=228

We move all terms to the left:

(s-7)s-(228)=0

We multiply parentheses

s^2-7s-228=0

a = 1; b = -7; c = -228;

Δ = b^{2}-4ac

Δ = -7^{2}-4·1·(-228)

Δ = 961

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{961}=31$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-31}{2*1}=\frac{-24}{2} =-12 $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+31}{2*1}=\frac{38}{2} =19 $

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