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7n(-8-8n+2)=
We move all terms to the left:
7n(-8-8n+2)-()=0
We add all the numbers together, and all the variables
7n(-8n-6)-()=0
We add all the numbers together, and all the variables
7n(-8n-6)=0
We multiply parentheses
-56n^2-42n=0
a = -56; b = -42; c = 0;
Δ = b2-4ac
Δ = -422-4·(-56)·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1764}=42$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42)-42}{2*-56}=\frac{0}{-112} =0 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+42}{2*-56}=\frac{84}{-112} =-3/4 $
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