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(8s+5)(3s+10)=360
We move all terms to the left:
(8s+5)(3s+10)-(360)=0
We multiply parentheses ..
(+24s^2+80s+15s+50)-360=0
We get rid of parentheses
24s^2+80s+15s+50-360=0
We add all the numbers together, and all the variables
24s^2+95s-310=0
a = 24; b = 95; c = -310;
Δ = b2-4ac
Δ = 952-4·24·(-310)
Δ = 38785
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}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(95)-\sqrt{38785}}{2*24}=\frac{-95-\sqrt{38785}}{48} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(95)+\sqrt{38785}}{2*24}=\frac{-95+\sqrt{38785}}{48} $
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