3(5)=(1/2)(6x+24)

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Solution for 3(5)=(1/2)(6x+24) equation:



3(5)=(1/2)(6x+24)
We move all terms to the left:
3(5)-((1/2)(6x+24))=0
Domain of the equation: 2)(6x+24))!=0
x∈R
We add all the numbers together, and all the variables
-((+1/2)(6x+24))+35=0
We multiply parentheses ..
-((+6x^2+1/2*24))+35=0
We multiply all the terms by the denominator
-((+6x^2+1+35*2*24))=0
We calculate terms in parentheses: -((+6x^2+1+35*2*24)), so:
(+6x^2+1+35*2*24)
We get rid of parentheses
6x^2+1+35*2*24
We add all the numbers together, and all the variables
6x^2+1681
Back to the equation:
-(6x^2+1681)
We get rid of parentheses
-6x^2-1681=0
a = -6; b = 0; c = -1681;
Δ = b2-4ac
Δ = 02-4·(-6)·(-1681)
Δ = -40344
Delta is less than zero, so there is no solution for the equation

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