5/6x-1/5x4=7/10x

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Solution for 5/6x-1/5x4=7/10x equation: 


x in (-oo:+oo)

(5/6)*x-((1/5)*x^4) = (7/10)*x // - (7/10)*x

(5/6)*x-((1/5)*x^4)-((7/10)*x) = 0

(-1/5)*x^4+(5/6)*x+(-7/10)*x = 0

2/15*x-1/5*x^4 = 0

1/5*x*(2/3-x^3) = 0

-1*x^3 = -2/3 // : -1

x^3 = 2/3

x^3 = 2/3 // ^ 1/3

x = (2/3)^(1/3)

x/5 = 0

1/5*x = 0 // : 1/5

x = 0

x in { (2/3)^(1/3), 0 }

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