8X-X^3=0

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Solution for 8X-X^3=0 equation: 


Simplifying
8X + -1X3 = 0

Solving
8X + -1X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(8 + -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 '(8 + -1X2)' equal to zero and attempt to solve:

Simplifying
8 + -1X2 = 0

Solving
8 + -1X2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1X2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1X2 = 0 + -8
-1X2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1X2 = -8

Divide each side by '-1'.
X2 = 8

Simplifying
X2 = 8

Take the square root of each side:
X = {-2.828427125, 2.828427125}
Solution
X = {0, -2.828427125, 2.828427125}

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