3x^2-1/27x^6=0

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Solution for 3x^2-1/27x^6=0 equation: 


x in (-oo:+oo)

3*x^2-((1/27)*x^6) = 0

(-1/27)*x^6+3*x^2 = 0

3*x^2-1/27*x^6 = 0

t_1 = x^2

3*t_1^1-1/27*t_1^3 = 0

3*t_1-1/27*t_1^3 = 0

t_1*(3-1/27*t_1^2) = 0

-1/27*t_1^2 = -3 // : -1/27

t_1^2 = 81

t_1^2 = 81 // ^ 1/2

abs(t_1) = 9

t_1 = 9 or t_1 = -9

t_1 = 0

t_1 = 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

t_1 = -9

x^2+9 = 0

1*x^2 = -9 // : 1

x^2 = -9

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 3, -3, 0 }

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