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

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


k in (-oo:+oo)

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

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

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

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

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

4*k-96*k^2+3*k+24 = 0

7*k-96*k^2+24 = 0

7*k-96*k^2+24 = 0

7*k-96*k^2+24 = 0

DELTA = 7^2-(-96*4*24)

DELTA = 9265

DELTA > 0

k = (9265^(1/2)-7)/(-96*2) or k = (-9265^(1/2)-7)/(-96*2)

k = (9265^(1/2)-7)/(-192) or k = (9265^(1/2)+7)/192

(k-((9265^(1/2)-7)/(-192)))*(k-((9265^(1/2)+7)/192)) = 0

((k-((9265^(1/2)-7)/(-192)))*(k-((9265^(1/2)+7)/192)))/4 = 0

((k-((9265^(1/2)-7)/(-192)))*(k-((9265^(1/2)+7)/192)))/4 = 0 // * 4

(k-((9265^(1/2)-7)/(-192)))*(k-((9265^(1/2)+7)/192)) = 0

( k-((9265^(1/2)+7)/192) )

k-((9265^(1/2)+7)/192) = 0 // + (9265^(1/2)+7)/192

k = (9265^(1/2)+7)/192

( k-((9265^(1/2)-7)/(-192)) )

k-((9265^(1/2)-7)/(-192)) = 0 // + (9265^(1/2)-7)/(-192)

k = (9265^(1/2)-7)/(-192)

k in { (9265^(1/2)+7)/192, (9265^(1/2)-7)/(-192) }

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