(x^2y^3z/x^4y^-1z^5)-4

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Solution for (x^2y^3z/x^4y^-1z^5)-4 equation: 


D( x )

x^4 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

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

y^-1*((x^2*y^3*z)/(x^4))*z^5-4 = 0

x^-2*y^2*z^6 = 4 // : y^2*z^6

x^-2 = 4/(y^2*z^6)

-2 < 0

1/(x^2) = 4/(y^2*z^6) // * x^2

1 = x^2*(4/(y^2*z^6)) // : 4/(y^2*z^6)

1/(4/(y^2*z^6)) = x^2

x^2 = 1/(4/(y^2*z^6)) // ^ 1/2

abs(x) = 1/(2/(y*z^3))

x = 1/(2/(y*z^3)) or x = -(1/(2/(y*z^3)))

x in { 1/(2/(y*z^3)), -(1/(2/(y*z^3))) }

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