(20x^2-4x^3y^5)/(8w^5x^4)

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Solution for (20x^2-4x^3y^5)/(8w^5x^4) equation:


D( x )

8*w^5*x^4 = 0

8*w^5*x^4 = 0

8*w^5*x^4 = 0

8*w^5*x^4 = 0 // : 8*w^5

x^4 = 0

x = 0

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

(20*x^2-(4*x^3*y^5))/(8*w^5*x^4) = 0

(20*x^2-4*x^3*y^5)/(8*w^5*x^4) = 0

20*x^2-4*x^3*y^5 = 0

4*x^2*(5-(x*y^5)) = 0

x*(-y^5)+5 = 0 // - 5

x*(-y^5) = -5 // : -y^5

x = -5/(-y^5)

x = 5/(y^5)

4*x^2*(x-5*y^-5) = 0

(4*x^2*(x-5*y^-5))/(8*w^5*x^4) = 0

( 4*x^2 )

4*x^2 = 0 // : 4

x^2 = 0

x = 0

( x-5*y^-5 )

x-5*y^-5 = 0 // + -5*y^-5

x = -(-5*y^-5)

x = 5*y^-5

x in { 0}

x = 5*y^-5

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