(X-3)(x^3-x^2-6x)=0

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Solution for (X-3)(x^3-x^2-6x)=0 equation: 


Simplifying
(X + -3)(x3 + -1x2 + -6x) = 0

Reorder the terms:
(-3 + X)(x3 + -1x2 + -6x) = 0

Reorder the terms:
(-3 + X)(-6x + -1x2 + x3) = 0

Multiply (-3 + X) * (-6x + -1x2 + x3)
(-3(-6x + -1x2 + x3) + X(-6x + -1x2 + x3)) = 0
((-6x * -3 + -1x2 * -3 + x3 * -3) + X(-6x + -1x2 + x3)) = 0
((18x + 3x2 + -3x3) + X(-6x + -1x2 + x3)) = 0
(18x + 3x2 + -3x3 + (-6x * X + -1x2 * X + x3 * X)) = 0
(18x + 3x2 + -3x3 + (-6xX + -1x2X + x3X)) = 0

Reorder the terms:
(18x + -6xX + 3x2 + -1x2X + -3x3 + x3X) = 0
(18x + -6xX + 3x2 + -1x2X + -3x3 + x3X) = 0

Solving
18x + -6xX + 3x2 + -1x2X + -3x3 + x3X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(18 + -6X + 3x + -1xX + -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 '(18 + -6X + 3x + -1xX + -3x2 + x2X)' equal to zero and attempt to solve:

Simplifying
18 + -6X + 3x + -1xX + -3x2 + x2X = 0

Solving
18 + -6X + 3x + -1xX + -3x2 + x2X = 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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