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k in (-oo:+oo)
(4/5)*k-k-(1/2) = (1/10)*(k+1) // - (1/10)*(k+1)
(4/5)*k-((1/10)*(k+1))-k-(1/2) = 0
(-1/10)*(k+1)+(4/5)*k-k-1/2 = 0
(4*k)/5-1/10*(k+1)-k-1/2 = 0
(-1/10*2*5*(k+1))/(2*5)+(2*4*k)/(2*5)+(2*5*(-k))/(2*5)+(-1*5)/(2*5) = 0
2*4*k-1/10*2*5*(k+1)+2*5*(-k)-1*5 = 0
7*k-10*k-5-1 = 0
-3*k-5-1 = 0
-3*k-6 = 0
(-3*k-6)/(2*5) = 0
(-3*k-6)/(2*5) = 0 // * 2*5
-3*k-6 = 0
-3*k-6 = 0 // + 6
-3*k = 6 // : -3
k = 6/(-3)
k = -2
k = -2
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