1/w-3-1/2w-6=1/2w-6

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Solution for 1/w-3-1/2w-6=1/2w-6 equation:



1/w-3-1/2w-6=1/2w-6
We move all terms to the left:
1/w-3-1/2w-6-(1/2w-6)=0
Domain of the equation: w!=0
w∈R
Domain of the equation: 2w!=0
w!=0/2
w!=0
w∈R
Domain of the equation: 2w-6)!=0
w∈R
We add all the numbers together, and all the variables
1/w-1/2w-(1/2w-6)-9=0
We get rid of parentheses
1/w-1/2w-1/2w+6-9=0
We calculate fractions
2w/2w^2+(-1w-1)/2w^2+6-9=0
We add all the numbers together, and all the variables
2w/2w^2+(-1w-1)/2w^2-3=0
We multiply all the terms by the denominator
2w+(-1w-1)-3*2w^2=0
Wy multiply elements
-6w^2+2w+(-1w-1)=0
We get rid of parentheses
-6w^2+2w-1w-1=0
We add all the numbers together, and all the variables
-6w^2+w-1=0
a = -6; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·(-6)·(-1)
Δ = -23
Delta is less than zero, so there is no solution for the equation

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