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12.73-27.55x=17/2.89x+4.5
We move all terms to the left:
12.73-27.55x-(17/2.89x+4.5)=0
Domain of the equation: 2.89x+4.5)!=0We get rid of parentheses
x∈R
-27.55x-17/2.89x-4.5+12.73=0
We multiply all the terms by the denominator
-(27.55x)*2.89x-(4.5)*2.89x+(12.73)*2.89x-17=0
We add all the numbers together, and all the variables
-(+27.55x)*2.89x-(4.5)*2.89x+(12.73)*2.89x-17=0
We multiply parentheses
-54x^2-9x+25.46x-17=0
We add all the numbers together, and all the variables
-54x^2+16.46x-17=0
a = -54; b = 16.46; c = -17;
Δ = b2-4ac
Δ = 16.462-4·(-54)·(-17)
Δ = -3401.0684
Delta is less than zero, so there is no solution for the equation
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