(X^3-2x)(-9x+18)=0

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Solution for (X^3-2x)(-9x+18)=0 equation:


Simplifying
(X3 + -2x)(-9x + 18) = 0

Reorder the terms:
(X3 + -2x)(18 + -9x) = 0

Multiply (X3 + -2x) * (18 + -9x)
(X3(18 + -9x) + -2x * (18 + -9x)) = 0
((18 * X3 + -9x * X3) + -2x * (18 + -9x)) = 0
((18X3 + -9xX3) + -2x * (18 + -9x)) = 0
(18X3 + -9xX3 + (18 * -2x + -9x * -2x)) = 0
(18X3 + -9xX3 + (-36x + 18x2)) = 0

Reorder the terms:
(18X3 + -36x + -9xX3 + 18x2) = 0
(18X3 + -36x + -9xX3 + 18x2) = 0

Solving
18X3 + -36x + -9xX3 + 18x2 = 0

Solving for variable 'X'.

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

Add '36x' to each side of the equation.
18X3 + -36x + -9xX3 + 36x + 18x2 = 0 + 36x

Reorder the terms:
18X3 + -36x + 36x + -9xX3 + 18x2 = 0 + 36x

Combine like terms: -36x + 36x = 0
18X3 + 0 + -9xX3 + 18x2 = 0 + 36x
18X3 + -9xX3 + 18x2 = 0 + 36x
Remove the zero:
18X3 + -9xX3 + 18x2 = 36x

Add '-18x2' to each side of the equation.
18X3 + -9xX3 + 18x2 + -18x2 = 36x + -18x2

Combine like terms: 18x2 + -18x2 = 0
18X3 + -9xX3 + 0 = 36x + -18x2
18X3 + -9xX3 = 36x + -18x2

Reorder the terms:
18X3 + -36x + -9xX3 + 18x2 = 36x + -18x2 + -36x + 18x2

Reorder the terms:
18X3 + -36x + -9xX3 + 18x2 = 36x + -36x + -18x2 + 18x2

Combine like terms: 36x + -36x = 0
18X3 + -36x + -9xX3 + 18x2 = 0 + -18x2 + 18x2
18X3 + -36x + -9xX3 + 18x2 = -18x2 + 18x2

Combine like terms: -18x2 + 18x2 = 0
18X3 + -36x + -9xX3 + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(2X3 + -4x + -1xX3 + 2x2) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(2X3 + -4x + -1xX3 + 2x2)' equal to zero and attempt to solve: Simplifying 2X3 + -4x + -1xX3 + 2x2 = 0 Solving 2X3 + -4x + -1xX3 + 2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '4x' to each side of the equation. 2X3 + -4x + -1xX3 + 4x + 2x2 = 0 + 4x Reorder the terms: 2X3 + -4x + 4x + -1xX3 + 2x2 = 0 + 4x Combine like terms: -4x + 4x = 0 2X3 + 0 + -1xX3 + 2x2 = 0 + 4x 2X3 + -1xX3 + 2x2 = 0 + 4x Remove the zero: 2X3 + -1xX3 + 2x2 = 4x Add '-2x2' to each side of the equation. 2X3 + -1xX3 + 2x2 + -2x2 = 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 2X3 + -1xX3 + 0 = 4x + -2x2 2X3 + -1xX3 = 4x + -2x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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