5/4(5^k-1)+5^k+1=5/4(5^k+1-1)

Solution for 5/4(5^k-1)+5^k+1=5/4(5^k+1-1) equation:

5/4(5^k-1)+5^k+1=5/4(5^k+1-1)

We move all terms to the left:

5/4(5^k-1)+5^k+1-(5/4(5^k+1-1))=0


Domain of the equation: 4(5^k-1)!=0

k∈R



Domain of the equation: 4(5^k+1-1))!=0

k∈R


We calculate fractions


5^k+(20k5/(4(5^k-1)*4(5^k+1-1)))+(-20k5/(4(5^k-1)*4(5^k+1-1)))+1=0


We calculate terms in parentheses: +(20k5/(4(5^k-1)*4(5^k+1-1))), so:

20k5/(4(5^k-1)*4(5^k+1-1))

We multiply all the terms by the denominator


20k5

We add all the numbers together, and all the variables

20k^5

We do not support ekpression: k^5