x^3+0.8x=0

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Solution for x^3+0.8x=0 equation: 


Simplifying
x3 + 0.8x = 0

Reorder the terms:
0.8x + x3 = 0

Solving
0.8x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(0.8 + x2) = 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 '(0.8 + x2)' equal to zero and attempt to solve:

Simplifying
0.8 + x2 = 0

Solving
0.8 + x2 = 0

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + x2 = 0 + -0.8
x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
x2 = -0.8

Simplifying
x2 = -0.8

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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