-x*x*x+2x(x-x*x)=

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Solution for -x*x*x+2x(x-x*x)= equation: 


Simplifying
-1x * x * x + 2x(x + -1x * x) = 0

Multiply x * x
-1x2 * x + 2x(x + -1x * x) = 0

Multiply x2 * x
-1x3 + 2x(x + -1x * x) = 0

Multiply x * x
-1x3 + 2x(x + -1x2) = 0
-1x3 + (x * 2x + -1x2 * 2x) = 0
-1x3 + (2x2 + -2x3) = 0

Reorder the terms:
2x2 + -1x3 + -2x3 = 0

Combine like terms: -1x3 + -2x3 = -3x3
2x2 + -3x3 = 0

Solving
2x2 + -3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(2 + -3x) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0, 0.6666666667}

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