(X^3-9x)(3x-1)=0

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Solution for (X^3-9x)(3x-1)=0 equation:


Simplifying
(X3 + -9x)(3x + -1) = 0

Reorder the terms:
(X3 + -9x)(-1 + 3x) = 0

Multiply (X3 + -9x) * (-1 + 3x)
(X3(-1 + 3x) + -9x * (-1 + 3x)) = 0
((-1 * X3 + 3x * X3) + -9x * (-1 + 3x)) = 0
((-1X3 + 3xX3) + -9x * (-1 + 3x)) = 0
(-1X3 + 3xX3 + (-1 * -9x + 3x * -9x)) = 0
(-1X3 + 3xX3 + (9x + -27x2)) = 0

Reorder the terms:
(-1X3 + 9x + 3xX3 + -27x2) = 0
(-1X3 + 9x + 3xX3 + -27x2) = 0

Solving
-1X3 + 9x + 3xX3 + -27x2 = 0

Solving for variable 'X'.

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

Add '-9x' to each side of the equation.
-1X3 + 9x + 3xX3 + -9x + -27x2 = 0 + -9x

Reorder the terms:
-1X3 + 9x + -9x + 3xX3 + -27x2 = 0 + -9x

Combine like terms: 9x + -9x = 0
-1X3 + 0 + 3xX3 + -27x2 = 0 + -9x
-1X3 + 3xX3 + -27x2 = 0 + -9x
Remove the zero:
-1X3 + 3xX3 + -27x2 = -9x

Add '27x2' to each side of the equation.
-1X3 + 3xX3 + -27x2 + 27x2 = -9x + 27x2

Combine like terms: -27x2 + 27x2 = 0
-1X3 + 3xX3 + 0 = -9x + 27x2
-1X3 + 3xX3 = -9x + 27x2

Reorder the terms:
-1X3 + 9x + 3xX3 + -27x2 = -9x + 27x2 + 9x + -27x2

Reorder the terms:
-1X3 + 9x + 3xX3 + -27x2 = -9x + 9x + 27x2 + -27x2

Combine like terms: -9x + 9x = 0
-1X3 + 9x + 3xX3 + -27x2 = 0 + 27x2 + -27x2
-1X3 + 9x + 3xX3 + -27x2 = 27x2 + -27x2

Combine like terms: 27x2 + -27x2 = 0
-1X3 + 9x + 3xX3 + -27x2 = 0

The solution to this equation could not be determined.

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