1/4k^2=1/2k-3/4k

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Solution for 1/4k^2=1/2k-3/4k equation: 


k in (-oo:+oo)

(1/4)*k^2 = (1/2)*k-((3/4)*k) // - (1/2)*k-((3/4)*k)

(1/4)*k^2-((1/2)*k)+(3/4)*k = 0

(1/4)*k^2+(-1/2)*k+(3/4)*k = 0

1/4*k^2+1/4*k = 0

DELTA = (1/4)^2-(0*1/4*4)

DELTA = 1/16

DELTA > 0

k = ((1/16)^(1/2)-1/4)/(1/4*2) or k = (-(1/16)^(1/2)-1/4)/(1/4*2)

k = 0 or k = -1

k in { -1, 0 }

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