x-x^3=A*(x-x^2)

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Solution for x-x^3=A*(x-x^2) equation: 


Simplifying
x + -1x3 = A(x + -1x2)
x + -1x3 = (x * A + -1x2 * A)
x + -1x3 = (xA + -1x2A)

Solving
x + -1x3 = xA + -1x2A

Solving for variable 'x'.

Reorder the terms:
x + -1xA + x2A + -1x3 = xA + -1x2A + -1xA + x2A

Reorder the terms:
x + -1xA + x2A + -1x3 = xA + -1xA + -1x2A + x2A

Combine like terms: xA + -1xA = 0
x + -1xA + x2A + -1x3 = 0 + -1x2A + x2A
x + -1xA + x2A + -1x3 = -1x2A + x2A

Combine like terms: -1x2A + x2A = 0
x + -1xA + x2A + -1x3 = 0

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

Simplifying
1 + -1A + xA + -1x2 = 0

Solving
1 + -1A + xA + -1x2 = 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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