15v^2w^2-25v/(5v^3x^2)

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Solution for 15v^2w^2-25v/(5v^3x^2) equation: 


D( x )

5*v^3*x^2 = 0

5*v^3*x^2 = 0

5*v^3*x^2 = 0

5*v^3*x^2 = 0 // : 5*v^3

x^2 = 0

x = 0

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

15*v^2*w^2-((25*v)/(5*v^3*x^2)) = 0

15*v^2*w^2-5*v^-2*x^-2 = 0

-5*v^-2*x^-2 = -(15*v^2*w^2) // : -5*v^-2

x^-2 = 3*v^4*w^2

-2 < 0

1/(x^2) = 3*v^4*w^2 // * x^2

1 = 3*v^4*w^2*x^2 // : 3*v^4*w^2

1/(3*v^4*w^2) = x^2

x^2 = 1/(3*v^4*w^2) // ^ 1/2

abs(x) = 1/(3^(1/2)*v^2*w)

x = 1/(3^(1/2)*v^2*w) or x = -(1/(3^(1/2)*v^2*w))

x in { 1/(3^(1/2)*v^2*w), -(1/(3^(1/2)*v^2*w)) }

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