1/w-1-2/3w-3=1/3w-3

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Solution for 1/w-1-2/3w-3=1/3w-3 equation:



1/w-1-2/3w-3=1/3w-3
We move all terms to the left:
1/w-1-2/3w-3-(1/3w-3)=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-3)!=0
w∈R
We add all the numbers together, and all the variables
1/w-2/3w-(1/3w-3)-4=0
We get rid of parentheses
1/w-2/3w-1/3w+3-4=0
We calculate fractions
3w/3w^2+(-1w-2)/3w^2+3-4=0
We add all the numbers together, and all the variables
3w/3w^2+(-1w-2)/3w^2-1=0
We multiply all the terms by the denominator
3w+(-1w-2)-1*3w^2=0
Wy multiply elements
-3w^2+3w+(-1w-2)=0
We get rid of parentheses
-3w^2+3w-1w-2=0
We add all the numbers together, and all the variables
-3w^2+2w-2=0
a = -3; b = 2; c = -2;
Δ = b2-4ac
Δ = 22-4·(-3)·(-2)
Δ = -20
Delta is less than zero, so there is no solution for the equation

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