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14.76-21.49x=16/2.57x+5.4
We move all terms to the left:
14.76-21.49x-(16/2.57x+5.4)=0
Domain of the equation: 2.57x+5.4)!=0We get rid of parentheses
x∈R
-21.49x-16/2.57x-5.4+14.76=0
We multiply all the terms by the denominator
-(21.49x)*2.57x-(5.4)*2.57x+(14.76)*2.57x-16=0
We add all the numbers together, and all the variables
-(+21.49x)*2.57x-(5.4)*2.57x+(14.76)*2.57x-16=0
We multiply parentheses
-42x^2-10.8x+29.52x-16=0
We add all the numbers together, and all the variables
-42x^2+18.72x-16=0
a = -42; b = 18.72; c = -16;
Δ = b2-4ac
Δ = 18.722-4·(-42)·(-16)
Δ = -2337.5616
Delta is less than zero, so there is no solution for the equation
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