6x^2-6x/9x^3

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Solution for 6x^2-6x/9x^3 equation: 


x in (-oo:+oo)

6*x^2-(((6*x)/9)*x^3) = 0

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

6*x^2-2/3*x^4 = 0

t_1 = x^2

6*t_1^1-2/3*t_1^2 = 0

6*t_1-2/3*t_1^2 = 0

DELTA = 6^2-(-2/3*0*4)

DELTA = 36

DELTA > 0

t_1 = (36^(1/2)-6)/(-2/3*2) or t_1 = (-36^(1/2)-6)/(-2/3*2)

t_1 = 0 or t_1 = 9

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 9

x^2-9 = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { 0, 3, -3 }

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