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(2s+9)(s+9)=0
We multiply parentheses ..
(+2s^2+18s+9s+81)=0
We get rid of parentheses
2s^2+18s+9s+81=0
We add all the numbers together, and all the variables
2s^2+27s+81=0
a = 2; b = 27; c = +81;
Δ = b2-4ac
Δ = 272-4·2·81
Δ = 81
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{81}=9$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-9}{2*2}=\frac{-36}{4} =-9 $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+9}{2*2}=\frac{-18}{4} =-4+1/2 $
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