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(14s-9)(5s-15)=0
We multiply parentheses ..
(+70s^2-210s-45s+135)=0
We get rid of parentheses
70s^2-210s-45s+135=0
We add all the numbers together, and all the variables
70s^2-255s+135=0
a = 70; b = -255; c = +135;
Δ = b2-4ac
Δ = -2552-4·70·135
Δ = 27225
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{27225}=165$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-255)-165}{2*70}=\frac{90}{140} =9/14 $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-255)+165}{2*70}=\frac{420}{140} =3 $
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