10x-y*x-x^2-.5x^3=0

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Solution for 10x-y*x-x^2-.5x^3=0 equation: 


Simplifying
10x + -1y * x + -1x2 + -0.5x3 = 0

Multiply y * x
10x + -1xy + -1x2 + -0.5x3 = 0

Solving
10x + -1xy + -1x2 + -0.5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + -1y + -1x + -0.5x2) = 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 '(10 + -1y + -1x + -0.5x2)' equal to zero and attempt to solve:

Simplifying
10 + -1y + -1x + -0.5x2 = 0

Reorder the terms:
10 + -1x + -0.5x2 + -1y = 0

Solving
10 + -1x + -0.5x2 + -1y = 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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