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1/w-3-2/5w-15=3/5w-15
We move all terms to the left:
1/w-3-2/5w-15-(3/5w-15)=0
Domain of the equation: w!=0
w∈R
Domain of the equation: 5w!=0
w!=0/5
w!=0
w∈R
Domain of the equation: 5w-15)!=0We add all the numbers together, and all the variables
w∈R
1/w-2/5w-(3/5w-15)-18=0
We get rid of parentheses
1/w-2/5w-3/5w+15-18=0
We calculate fractions
5w/5w^2+(-3w-2)/5w^2+15-18=0
We add all the numbers together, and all the variables
5w/5w^2+(-3w-2)/5w^2-3=0
We multiply all the terms by the denominator
5w+(-3w-2)-3*5w^2=0
Wy multiply elements
-15w^2+5w+(-3w-2)=0
We get rid of parentheses
-15w^2+5w-3w-2=0
We add all the numbers together, and all the variables
-15w^2+2w-2=0
a = -15; b = 2; c = -2;
Δ = b2-4ac
Δ = 22-4·(-15)·(-2)
Δ = -116
Delta is less than zero, so there is no solution for the equation
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