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1.65=1.5x+22.5/2.5x
We move all terms to the left:
1.65-(1.5x+22.5/2.5x)=0
Domain of the equation: 2.5x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-(+1.5x+22.5/2.5x)+1.65=0
We get rid of parentheses
-1.5x-22.5/2.5x+1.65=0
We multiply all the terms by the denominator
-(1.5x)*2.5x+(1.65)*2.5x-22.5=0
We add all the numbers together, and all the variables
-(+1.5x)*2.5x+(1.65)*2.5x-22.5=0
We multiply parentheses
-2x^2+3.3x-22.5=0
a = -2; b = 3.3; c = -22.5;
Δ = b2-4ac
Δ = 3.32-4·(-2)·(-22.5)
Δ = -169.11
Delta is less than zero, so there is no solution for the equation
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