z/5=(3/10)z+4

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Solution for z/5=(3/10)z+4 equation:



z/5=(3/10)z+4
We move all terms to the left:
z/5-((3/10)z+4)=0
Domain of the equation: 10)z+4)!=0
z!=0/1
z!=0
z∈R
We add all the numbers together, and all the variables
z/5-((+3/10)z+4)=0
We calculate fractions
10z^2/50z+()/50z=0
We multiply all the terms by the denominator
10z^2+()=0
We add all the numbers together, and all the variables
10z^2=0
a = 10; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·10·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$z=\frac{-b}{2a}=\frac{0}{20}=0$

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