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4=(1/3)(4x+9)
We move all terms to the left:
4-((1/3)(4x+9))=0
Domain of the equation: 3)(4x+9))!=0We add all the numbers together, and all the variables
x∈R
-((+1/3)(4x+9))+4=0
We multiply parentheses ..
-((+4x^2+1/3*9))+4=0
We multiply all the terms by the denominator
-((+4x^2+1+4*3*9))=0
We calculate terms in parentheses: -((+4x^2+1+4*3*9)), so:We get rid of parentheses
(+4x^2+1+4*3*9)
We get rid of parentheses
4x^2+1+4*3*9
We add all the numbers together, and all the variables
4x^2+109
Back to the equation:
-(4x^2+109)
-4x^2-109=0
a = -4; b = 0; c = -109;
Δ = b2-4ac
Δ = 02-4·(-4)·(-109)
Δ = -1744
Delta is less than zero, so there is no solution for the equation
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