x^2y=6x-0.5x^3

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Solution for x^2y=6x-0.5x^3 equation: 


Simplifying
x2y = 6x + -0.5x3

Solving
x2y = 6x + -0.5x3

Solving for variable 'x'.

Reorder the terms:
-6x + x2y + 0.5x3 = 6x + -0.5x3 + -6x + 0.5x3

Reorder the terms:
-6x + x2y + 0.5x3 = 6x + -6x + -0.5x3 + 0.5x3

Combine like terms: 6x + -6x = 0
-6x + x2y + 0.5x3 = 0 + -0.5x3 + 0.5x3
-6x + x2y + 0.5x3 = -0.5x3 + 0.5x3

Combine like terms: -0.5x3 + 0.5x3 = 0.0
-6x + x2y + 0.5x3 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + xy + 0.5x2) = 0.0


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 '(-6 + xy + 0.5x2)' equal to zero and attempt to solve:

Simplifying
-6 + xy + 0.5x2 = 0

Solving
-6 + xy + 0.5x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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