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19.6-21.3t=80.1/9.2t
We move all terms to the left:
19.6-21.3t-(80.1/9.2t)=0
Domain of the equation: 9.2t)!=0We add all the numbers together, and all the variables
t!=0/1
t!=0
t∈R
-21.3t-(+80.1/9.2t)+19.6=0
We get rid of parentheses
-21.3t-80.1/9.2t+19.6=0
We multiply all the terms by the denominator
-(21.3t)*9.2t+(19.6)*9.2t-80.1=0
We add all the numbers together, and all the variables
-(+21.3t)*9.2t+(19.6)*9.2t-80.1=0
We multiply parentheses
-189t^2+176.4t-80.1=0
a = -189; b = 176.4; c = -80.1;
Δ = b2-4ac
Δ = 176.42-4·(-189)·(-80.1)
Δ = -29438.64
Delta is less than zero, so there is no solution for the equation
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