24xy-xy^3+x^2=

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Solution for 24xy-xy^3+x^2= equation: 


Simplifying
24xy + -1xy3 + x2 = 0

Solving
24xy + -1xy3 + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24y + -1y3 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(24y + -1y3 + x)' equal to zero and attempt to solve:

Simplifying
24y + -1y3 + x = 0

Reorder the terms:
x + 24y + -1y3 = 0

Solving
x + 24y + -1y3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-24y' to each side of the equation.
x + 24y + -24y + -1y3 = 0 + -24y

Combine like terms: 24y + -24y = 0
x + 0 + -1y3 = 0 + -24y
x + -1y3 = 0 + -24y
Remove the zero:
x + -1y3 = -24y

Add 'y3' to each side of the equation.
x + -1y3 + y3 = -24y + y3

Combine like terms: -1y3 + y3 = 0
x + 0 = -24y + y3
x = -24y + y3

Simplifying
x = -24y + y3
Solution
x = {0, -24y + y3}

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