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9z+36/z=6/z-9+3
We move all terms to the left:
9z+36/z-(6/z-9+3)=0
Domain of the equation: z!=0
z∈R
Domain of the equation: z-9+3)!=0We add all the numbers together, and all the variables
We move all terms containing z to the left, all other terms to the right
z+3)!=9
z∈R
9z+36/z-(6/z-6)=0
We get rid of parentheses
9z+36/z-6/z+6=0
We multiply all the terms by the denominator
9z*z+6*z+36-6=0
We add all the numbers together, and all the variables
6z+9z*z+30=0
Wy multiply elements
9z^2+6z+30=0
a = 9; b = 6; c = +30;
Δ = b2-4ac
Δ = 62-4·9·30
Δ = -1044
Delta is less than zero, so there is no solution for the equation
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