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(s+6)(6s+8)=0
We multiply parentheses ..
(+6s^2+8s+36s+48)=0
We get rid of parentheses
6s^2+8s+36s+48=0
We add all the numbers together, and all the variables
6s^2+44s+48=0
a = 6; b = 44; c = +48;
Δ = b2-4ac
Δ = 442-4·6·48
Δ = 784
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{784}=28$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-28}{2*6}=\frac{-72}{12} =-6 $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+28}{2*6}=\frac{-16}{12} =-1+1/3 $
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