12/x=36-6x

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Solution for 12/x=36-6x equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

12/x = 36-(6*x) // - 36-(6*x)

6*x+12/x-36 = 0

6*x^1+12*x^-1-36*x^0 = 0

(6*x^2-36*x^1+12*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-36*x^1+12*x^0) = 0

x^1

6*x^2-36*x+12 = 0

6*x^2-36*x+12 = 0

DELTA = (-36)^2-(4*6*12)

DELTA = 1008

DELTA > 0

x = (1008^(1/2)+36)/(2*6) or x = (36-1008^(1/2))/(2*6)

x = (12*7^(1/2)+36)/12 or x = (36-12*7^(1/2))/12

x in { (36-12*7^(1/2))/12, (12*7^(1/2)+36)/12}

x in { (36-12*7^(1/2))/12, (12*7^(1/2)+36)/12 }

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