3/4k-5=1/4k-1-14k

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Solution for 3/4k-5=1/4k-1-14k equation:



3/4k-5=1/4k-1-14k
We move all terms to the left:
3/4k-5-(1/4k-1-14k)=0
Domain of the equation: 4k!=0
k!=0/4
k!=0
k∈R
Domain of the equation: 4k-1-14k)!=0
We move all terms containing k to the left, all other terms to the right
4k-14k)!=1
k∈R
We add all the numbers together, and all the variables
3/4k-(-14k+1/4k-1)-5=0
We get rid of parentheses
3/4k+14k-1/4k+1-5=0
We multiply all the terms by the denominator
14k*4k+1*4k-5*4k+3-1=0
We add all the numbers together, and all the variables
14k*4k+1*4k-5*4k+2=0
Wy multiply elements
56k^2+4k-20k+2=0
We add all the numbers together, and all the variables
56k^2-16k+2=0
a = 56; b = -16; c = +2;
Δ = b2-4ac
Δ = -162-4·56·2
Δ = -192
Delta is less than zero, so there is no solution for the equation

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