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3/4w+43/16w+9=1/16w
We move all terms to the left:
3/4w+43/16w+9-(1/16w)=0
Domain of the equation: 4w!=0
w!=0/4
w!=0
w∈R
Domain of the equation: 16w!=0
w!=0/16
w!=0
w∈R
Domain of the equation: 16w)!=0We add all the numbers together, and all the variables
w!=0/1
w!=0
w∈R
3/4w+43/16w-(+1/16w)+9=0
We get rid of parentheses
3/4w+43/16w-1/16w+9=0
We calculate fractions
48w/64w^2+(-4w+43)/64w^2+9=0
We multiply all the terms by the denominator
48w+(-4w+43)+9*64w^2=0
Wy multiply elements
576w^2+48w+(-4w+43)=0
We get rid of parentheses
576w^2+48w-4w+43=0
We add all the numbers together, and all the variables
576w^2+44w+43=0
a = 576; b = 44; c = +43;
Δ = b2-4ac
Δ = 442-4·576·43
Δ = -97136
Delta is less than zero, so there is no solution for the equation
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