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1/w-3-1/3w-9=2/3w-9
We move all terms to the left:
1/w-3-1/3w-9-(2/3w-9)=0
Domain of the equation: w!=0
w∈R
Domain of the equation: 3w!=0
w!=0/3
w!=0
w∈R
Domain of the equation: 3w-9)!=0We add all the numbers together, and all the variables
w∈R
1/w-1/3w-(2/3w-9)-12=0
We get rid of parentheses
1/w-1/3w-2/3w+9-12=0
We calculate fractions
3w/3w^2+(-2w-1)/3w^2+9-12=0
We add all the numbers together, and all the variables
3w/3w^2+(-2w-1)/3w^2-3=0
We multiply all the terms by the denominator
3w+(-2w-1)-3*3w^2=0
Wy multiply elements
-9w^2+3w+(-2w-1)=0
We get rid of parentheses
-9w^2+3w-2w-1=0
We add all the numbers together, and all the variables
-9w^2+w-1=0
a = -9; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·(-9)·(-1)
Δ = -35
Delta is less than zero, so there is no solution for the equation
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