X/5x^2+(6x-2)^2-120=0

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Solution for X/5x^2+(6x-2)^2-120=0 equation: 


x in (-oo:+oo)

(6*x-2)^2+(X/5)*x^2-120 = 0

(6*x-2)^2+(X*x^2)/5-120 = 0

(5*(6*x-2)^2)/5+(X*x^2)/5+(-120*5)/5 = 0

5*(6*x-2)^2+X*x^2-120*5 = 0

X*x^2+180*x^2-120*x-600+20 = 0

X*x^2+180*x^2-120*x-580 = 0

(X*x^2+180*x^2-120*x-580)/5 = 0

(X*x^2+180*x^2-120*x-580)/5 = 0 // * 5

X*x^2+180*x^2-120*x-580 = 0

X*x^2-120*x-580 = 0

DELTA = (-120)^2-(-580*4*X)

DELTA = 2320*X+14400

2320*X+14400 = 0

2320*X+14400 = 0 // - 14400

2320*X = -14400 // : 2320

X = -14400/2320

X = -180/29

DELTA = 0  <=>  t_3 = -180/29

x = 120/(2*X) i X = -180/29

x = 60*X^-1 i X = -180/29

( x = ((2320*X+14400)^(1/2)+120)/(2*X) or x = (120-(2320*X+14400)^(1/2))/(2*X) ) i X > -180/29

X+180/29 > 0

X+180/29 > 0 // - 180/29

X > -180/29

x in { 60*X^-1, ((2320*X+14400)^(1/2)+120)/(2*X), (120-(2320*X+14400)^(1/2))/(2*X) }

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