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(14c-8)(5c+9)=0
We multiply parentheses ..
(+70c^2+126c-40c-72)=0
We get rid of parentheses
70c^2+126c-40c-72=0
We add all the numbers together, and all the variables
70c^2+86c-72=0
a = 70; b = 86; c = -72;
Δ = b2-4ac
Δ = 862-4·70·(-72)
Δ = 27556
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{27556}=166$$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(86)-166}{2*70}=\frac{-252}{140} =-1+4/5 $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(86)+166}{2*70}=\frac{80}{140} =4/7 $
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