(-15u^7x^5+28u^7x^2)/(-4u^5x^4)

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Solution for (-15u^7x^5+28u^7x^2)/(-4u^5x^4) equation:


D( x )

-4*u^5*x^4 = 0

-4*u^5*x^4 = 0

-4*u^5*x^4 = 0

-4*u^5*x^4 = 0 // : -4*u^5

x^4 = 0

x = 0

x in (-oo:0) U (0:+oo)

(28*u^7*x^2-15*u^7*x^5)/(-4*u^5*x^4) = 0

28*u^7*x^2-15*u^7*x^5 = 0

u^7*x^2*(28-15*x^3) = 0

-15*x^3 = -28 // : -15

x^3 = 28/15

x^3 = 28/15 // ^ 1/3

x = (28/15)^(1/3)

u^7*x^2*(x-(28/15)^(1/3)) = 0

(u^7*x^2*(x-(28/15)^(1/3)))/(-4*u^5*x^4) = 0

( u^7*x^2 )

u^7*x^2 = 0 // : u^7

x^2 = 0

x = 0

( x-(28/15)^(1/3) )

x-(28/15)^(1/3) = 0 // + (28/15)^(1/3)

x = (28/15)^(1/3)

x in { 0}

x = (28/15)^(1/3)

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