h-1/6h+3(2h^2+9h+4)

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Solution for h-1/6h+3(2h^2+9h+4) equation: 


h in (-oo:+oo)

3*(2*h^2+9*h+4)+h-((1/6)*h) = 0

3*(2*h^2+9*h+4)+h+(-1/6)*h = 0

3*(2*h^2+9*h+4)+h-h/6 = 0

(3*6*(2*h^2+9*h+4))/6+(6*h)/6-h/6 = 0

3*6*(2*h^2+9*h+4)+6*h-h = 0

36*h^2+168*h-h+72 = 0

36*h^2+167*h+72 = 0

36*h^2+167*h+72 = 0

36*h^2+167*h+72 = 0

DELTA = 167^2-(4*36*72)

DELTA = 17521

DELTA > 0

h = (17521^(1/2)-167)/(2*36) or h = (-17521^(1/2)-167)/(2*36)

h = (17521^(1/2)-167)/72 or h = (-(17521^(1/2)+167))/72

(h+(17521^(1/2)+167)/72)*(h-((17521^(1/2)-167)/72)) = 0

((h+(17521^(1/2)+167)/72)*(h-((17521^(1/2)-167)/72)))/6 = 0

((h+(17521^(1/2)+167)/72)*(h-((17521^(1/2)-167)/72)))/6 = 0 // * 6

(h+(17521^(1/2)+167)/72)*(h-((17521^(1/2)-167)/72)) = 0

( h+(17521^(1/2)+167)/72 )

h+(17521^(1/2)+167)/72 = 0 // - (17521^(1/2)+167)/72

h = -((17521^(1/2)+167)/72)

( h-((17521^(1/2)-167)/72) )

h-((17521^(1/2)-167)/72) = 0 // + (17521^(1/2)-167)/72

h = (17521^(1/2)-167)/72

h in { -((17521^(1/2)+167)/72), (17521^(1/2)-167)/72 }

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