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200=50000/q+30+0.1q
We move all terms to the left:
200-(50000/q+30+0.1q)=0
Domain of the equation: q+30+0.1q)!=0We add all the numbers together, and all the variables
We move all terms containing q to the left, all other terms to the right
q+0.1q)!=-30
q∈R
-(0.1q+50000/q+30)+200=0
We get rid of parentheses
-0.1q-50000/q-30+200=0
We multiply all the terms by the denominator
-(0.1q)*q-30*q+200*q-50000=0
We add all the numbers together, and all the variables
-(+0.1q)*q-30*q+200*q-50000=0
We add all the numbers together, and all the variables
170q-(+0.1q)*q-50000=0
We multiply parentheses
-0q^2+170q-50000=0
We add all the numbers together, and all the variables
-1q^2+170q-50000=0
a = -1; b = 170; c = -50000;
Δ = b2-4ac
Δ = 1702-4·(-1)·(-50000)
Δ = -171100
Delta is less than zero, so there is no solution for the equation
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