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1/2z+10+3/4z=1/4z
We move all terms to the left:
1/2z+10+3/4z-(1/4z)=0
Domain of the equation: 2z!=0
z!=0/2
z!=0
z∈R
Domain of the equation: 4z!=0
z!=0/4
z!=0
z∈R
Domain of the equation: 4z)!=0We add all the numbers together, and all the variables
z!=0/1
z!=0
z∈R
1/2z+3/4z-(+1/4z)+10=0
We get rid of parentheses
1/2z+3/4z-1/4z+10=0
We calculate fractions
4z/8z^2+(-2z+3)/8z^2+10=0
We multiply all the terms by the denominator
4z+(-2z+3)+10*8z^2=0
Wy multiply elements
80z^2+4z+(-2z+3)=0
We get rid of parentheses
80z^2+4z-2z+3=0
We add all the numbers together, and all the variables
80z^2+2z+3=0
a = 80; b = 2; c = +3;
Δ = b2-4ac
Δ = 22-4·80·3
Δ = -956
Delta is less than zero, so there is no solution for the equation
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