(X-3)*(x^3-8x)=0

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Solution for (X-3)*(x^3-8x)=0 equation: 


Simplifying
(X + -3)(x3 + -8x) = 0

Reorder the terms:
(-3 + X)(x3 + -8x) = 0

Reorder the terms:
(-3 + X)(-8x + x3) = 0

Multiply (-3 + X) * (-8x + x3)
(-3(-8x + x3) + X(-8x + x3)) = 0
((-8x * -3 + x3 * -3) + X(-8x + x3)) = 0
((24x + -3x3) + X(-8x + x3)) = 0
(24x + -3x3 + (-8x * X + x3 * X)) = 0
(24x + -3x3 + (-8xX + x3X)) = 0

Reorder the terms:
(24x + -8xX + -3x3 + x3X) = 0
(24x + -8xX + -3x3 + x3X) = 0

Solving
24x + -8xX + -3x3 + x3X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + -8X + -3x2 + x2X) = 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 '(24 + -8X + -3x2 + x2X)' equal to zero and attempt to solve:

Simplifying
24 + -8X + -3x2 + x2X = 0

Solving
24 + -8X + -3x2 + x2X = 0

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

Add '-24' to each side of the equation.
24 + -8X + -3x2 + -24 + x2X = 0 + -24

Reorder the terms:
24 + -24 + -8X + -3x2 + x2X = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -8X + -3x2 + x2X = 0 + -24
-8X + -3x2 + x2X = 0 + -24

Combine like terms: 0 + -24 = -24
-8X + -3x2 + x2X = -24

Add '8X' to each side of the equation.
-8X + -3x2 + 8X + x2X = -24 + 8X

Reorder the terms:
-8X + 8X + -3x2 + x2X = -24 + 8X

Combine like terms: -8X + 8X = 0
0 + -3x2 + x2X = -24 + 8X
-3x2 + x2X = -24 + 8X

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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