8x-2/5(x11/5-8x)

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Solution for 8x-2/5(x11/5-8x) equation:


x in (-oo:+oo)

8*x-((2/5)*((x^11)/5-(8*x))) = 0

(-2/5)*((x^11)/5-8*x)+8*x = 0

8*x-2/5*(1/5*x^11-8*x) = 0

8*x-2/5*(1/5*x^11-8*x) = 0

56/5*x-2/25*x^11 = 0

56/5*x-2/25*x^11 = 0

2/5*x*(28-1/5*x^10) = 0

-1/5*x^10 = -28 // : -1/5

x^10 = 140

x^10 = 140 // ^ 1/10

abs(x) = 140^(1/10)

x = 140^(1/10) or x = -140^(1/10)

2/5*x*(x-140^(1/10))*(x+140^(1/10)) = 0

2/5*x*(x-140^(1/10))*(x+140^(1/10)) = 0

( 2/5*x )

2/5*x = 0 // : 2/5

x = 0

( x+140^(1/10) )

x+140^(1/10) = 0 // - 140^(1/10)

x = -140^(1/10)

( x-140^(1/10) )

x-140^(1/10) = 0 // + 140^(1/10)

x = 140^(1/10)

x in { 0, -140^(1/10), 140^(1/10) }

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