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1/2k-3=2-34k
We move all terms to the left:
1/2k-3-(2-34k)=0
Domain of the equation: 2k!=0We add all the numbers together, and all the variables
k!=0/2
k!=0
k∈R
1/2k-(-34k+2)-3=0
We get rid of parentheses
1/2k+34k-2-3=0
We multiply all the terms by the denominator
34k*2k-2*2k-3*2k+1=0
Wy multiply elements
68k^2-4k-6k+1=0
We add all the numbers together, and all the variables
68k^2-10k+1=0
a = 68; b = -10; c = +1;
Δ = b2-4ac
Δ = -102-4·68·1
Δ = -172
Delta is less than zero, so there is no solution for the equation
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