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2=40/(3x-5)(2x-1)
We move all terms to the left:
2-(40/(3x-5)(2x-1))=0
Domain of the equation: (3x-5)(2x-1))!=0We multiply parentheses ..
x∈R
-(40/(+6x^2-3x-10x+5))+2=0
We multiply all the terms by the denominator
-(40+2*(+6x^2-3x-10x+5))=0
We calculate terms in parentheses: -(40+2*(+6x^2-3x-10x+5)), so:We get rid of parentheses
40+2*(+6x^2-3x-10x+5)
determiningTheFunctionDomain 2*(+6x^2-3x-10x+5)+40
We multiply parentheses
12x^2-6x-20x+10+40
We add all the numbers together, and all the variables
12x^2-26x+50
Back to the equation:
-(12x^2-26x+50)
-12x^2+26x-50=0
a = -12; b = 26; c = -50;
Δ = b2-4ac
Δ = 262-4·(-12)·(-50)
Δ = -1724
Delta is less than zero, so there is no solution for the equation
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