x^(8/7)=6x^(1/7)

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Solution for x^(8/7)=6x^(1/7) equation: 


x in (-oo:+oo)

x^(8/7) = 6*x^(1/7) // - 6*x^(1/7)

x^(8/7)-(6*x^(1/7)) = 0

x^(8/7)-6*x^(1/7) = 0

t_1 = x^(1/7)

1*t_1^8-6*t_1^1 = 0

t_1^8-6*t_1 = 0

t_1*(t_1^7-6) = 0

1*t_1^7 = 6 // : 1

t_1^7 = 6

t_1^7 = 6 // ^ 1/7

t_1 = 6^(1/7)

t_1 = 0

t_1 = 0

t_1 = 6^(1/7)

x^(1/7)-6^(1/7) = 0

1*x^(1/7) = 6^(1/7) // : 1

x^(1/7) = 6^(1/7)

x^(1/7) = 6^(1/7) // ^ 7

x = 6

t_1 = 0

x^(1/7)+0 = 0

x^(1/7) = 0

1*x^(1/7) = 0 // : 1

x^(1/7) = 0

x = 0

x in { 6, 0 }

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