k+3/4k-2*(12k^2+2k-4)

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Solution for k+3/4k-2*(12k^2+2k-4) equation: 


k in (-oo:+oo)

k-(2*(12*k^2+2*k-4))+(3/4)*k = 0

k-2*(12*k^2+2*k-4)+(3/4)*k = 0

k-2*(12*k^2+2*k-4)+(3*k)/4 = 0

(-2*4*(12*k^2+2*k-4))/4+(4*k)/4+(3*k)/4 = 0

4*k-2*4*(12*k^2+2*k-4)+3*k = 0

3*k-96*k^2-12*k+32 = 0

32-96*k^2-9*k = 0

32-96*k^2-9*k = 0

32-96*k^2-9*k = 0

DELTA = (-9)^2-(-96*4*32)

DELTA = 12369

DELTA > 0

k = (12369^(1/2)+9)/(-96*2) or k = (9-12369^(1/2))/(-96*2)

k = (12369^(1/2)+9)/(-192) or k = (9-12369^(1/2))/(-192)

(k-((12369^(1/2)+9)/(-192)))*(k-((9-12369^(1/2))/(-192))) = 0

((k-((12369^(1/2)+9)/(-192)))*(k-((9-12369^(1/2))/(-192))))/4 = 0

((k-((12369^(1/2)+9)/(-192)))*(k-((9-12369^(1/2))/(-192))))/4 = 0 // * 4

(k-((12369^(1/2)+9)/(-192)))*(k-((9-12369^(1/2))/(-192))) = 0

( k-((12369^(1/2)+9)/(-192)) )

k-((12369^(1/2)+9)/(-192)) = 0 // + (12369^(1/2)+9)/(-192)

k = (12369^(1/2)+9)/(-192)

( k-((9-12369^(1/2))/(-192)) )

k-((9-12369^(1/2))/(-192)) = 0 // + (9-12369^(1/2))/(-192)

k = (9-12369^(1/2))/(-192)

k in { (12369^(1/2)+9)/(-192), (9-12369^(1/2))/(-192) }

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