What are the solutions to the equation solvefor x,2xy-x^3=0 ?

The solutions to the equation solvefor x,2xy-x^3=0 are x=0,x=sqrt(2y),x=-sqrt(2y)

Find the zeros of solvefor x,2xy-x^3=0

The zeros of solvefor x,2xy-x^3=0 are x=0,x=sqrt(2y),x=-sqrt(2y)

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solve for

x, 2 x y - x^{3} = 0

x = 0, x = 2 y, x = - 2 y

Solution steps

2 x y - x^{3} = 0

Factor

2 x y - x^{3} : x (2 y - x^{2})

x (2 y - x^{2}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 y - x^{2} = 0

Solve

2 y - x^{2} = 0 : x = 2 y, x = - 2 y

The solutions are

x = 0, x = 2 y, x = - 2 y

- 2 x^{3} + 3 = 0

3 x^{4} + 4 x^{3} + 6 x^{2} - 4 = 0

x^{3} - 2 x = 88

- 32 x^{5} + 160 x^{3} - 120 x = 0

s^{4} - 10 s^{3} - 5 s^{2} = 0

What are the solutions to the equation solvefor x,2xy-x^3=0 ?
The solutions to the equation solvefor x,2xy-x^3=0 are x=0,x=sqrt(2y),x=-sqrt(2y)
Find the zeros of solvefor x,2xy-x^3=0
The zeros of solvefor x,2xy-x^3=0 are x=0,x=sqrt(2y),x=-sqrt(2y)