1/w-3-1/4w-12=3/4w-12

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Solution for 1/w-3-1/4w-12=3/4w-12 equation:



1/w-3-1/4w-12=3/4w-12
We move all terms to the left:
1/w-3-1/4w-12-(3/4w-12)=0
Domain of the equation: w!=0
w∈R
Domain of the equation: 4w!=0
w!=0/4
w!=0
w∈R
Domain of the equation: 4w-12)!=0
w∈R
We add all the numbers together, and all the variables
1/w-1/4w-(3/4w-12)-15=0
We get rid of parentheses
1/w-1/4w-3/4w+12-15=0
We calculate fractions
4w/4w^2+(-3w-1)/4w^2+12-15=0
We add all the numbers together, and all the variables
4w/4w^2+(-3w-1)/4w^2-3=0
We multiply all the terms by the denominator
4w+(-3w-1)-3*4w^2=0
Wy multiply elements
-12w^2+4w+(-3w-1)=0
We get rid of parentheses
-12w^2+4w-3w-1=0
We add all the numbers together, and all the variables
-12w^2+w-1=0
a = -12; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·(-12)·(-1)
Δ = -47
Delta is less than zero, so there is no solution for the equation

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