1/3(2m+4)=1/9(2m+-16)

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Solution for 1/3(2m+4)=1/9(2m+-16) equation:



1/3(2m+4)=1/9(2m+-16)
We move all terms to the left:
1/3(2m+4)-(1/9(2m+-16))=0
Domain of the equation: 3(2m+4)!=0
m∈R
Domain of the equation: 9(2m+-16))!=0
m∈R
We add all the numbers together, and all the variables
1/3(2m+4)-(1/9(2m-16))=0
We calculate fractions
(9m2/(3(2m+4)*9(2m-16)))+(-3m2/(3(2m+4)*9(2m-16)))=0
We calculate terms in parentheses: +(9m2/(3(2m+4)*9(2m-16))), so:
9m2/(3(2m+4)*9(2m-16))
We multiply all the terms by the denominator
9m2
We add all the numbers together, and all the variables
9m^2
Back to the equation:
+(9m^2)
We calculate terms in parentheses: +(-3m2/(3(2m+4)*9(2m-16))), so:
-3m2/(3(2m+4)*9(2m-16))
We multiply all the terms by the denominator
-3m2
We add all the numbers together, and all the variables
-3m^2
Back to the equation:
+(-3m^2)
We add all the numbers together, and all the variables
9m^2+(-3m^2)=0
We get rid of parentheses
9m^2-3m^2=0
We add all the numbers together, and all the variables
6m^2=0
a = 6; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·6·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$m=\frac{-b}{2a}=\frac{0}{12}=0$

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