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

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


Simplifying
(X3 + -2x2)(-9x + 18) = 0

Reorder the terms:
(X3 + -2x2)(18 + -9x) = 0

Multiply (X3 + -2x2) * (18 + -9x)
(X3(18 + -9x) + -2x2 * (18 + -9x)) = 0
((18 * X3 + -9x * X3) + -2x2 * (18 + -9x)) = 0
((18X3 + -9xX3) + -2x2 * (18 + -9x)) = 0
(18X3 + -9xX3 + (18 * -2x2 + -9x * -2x2)) = 0
(18X3 + -9xX3 + (-36x2 + 18x3)) = 0
(18X3 + -9xX3 + -36x2 + 18x3) = 0

Solving
18X3 + -9xX3 + -36x2 + 18x3 = 0

Solving for variable 'X'.

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

Add '36x2' to each side of the equation.
18X3 + -9xX3 + -36x2 + 36x2 + 18x3 = 0 + 36x2

Combine like terms: -36x2 + 36x2 = 0
18X3 + -9xX3 + 0 + 18x3 = 0 + 36x2
18X3 + -9xX3 + 18x3 = 0 + 36x2
Remove the zero:
18X3 + -9xX3 + 18x3 = 36x2

Add '-18x3' to each side of the equation.
18X3 + -9xX3 + 18x3 + -18x3 = 36x2 + -18x3

Combine like terms: 18x3 + -18x3 = 0
18X3 + -9xX3 + 0 = 36x2 + -18x3
18X3 + -9xX3 = 36x2 + -18x3

Reorder the terms:
18X3 + -9xX3 + -36x2 + 18x3 = 36x2 + -36x2 + -18x3 + 18x3

Combine like terms: 36x2 + -36x2 = 0
18X3 + -9xX3 + -36x2 + 18x3 = 0 + -18x3 + 18x3
18X3 + -9xX3 + -36x2 + 18x3 = -18x3 + 18x3

Combine like terms: -18x3 + 18x3 = 0
18X3 + -9xX3 + -36x2 + 18x3 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(2X3 + -1xX3 + -4x2 + 2x3) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(2X3 + -1xX3 + -4x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
2X3 + -1xX3 + -4x2 + 2x3 = 0

Solving
2X3 + -1xX3 + -4x2 + 2x3 = 0

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

Add '4x2' to each side of the equation.
2X3 + -1xX3 + -4x2 + 4x2 + 2x3 = 0 + 4x2

Combine like terms: -4x2 + 4x2 = 0
2X3 + -1xX3 + 0 + 2x3 = 0 + 4x2
2X3 + -1xX3 + 2x3 = 0 + 4x2
Remove the zero:
2X3 + -1xX3 + 2x3 = 4x2

Add '-2x3' to each side of the equation.
2X3 + -1xX3 + 2x3 + -2x3 = 4x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
2X3 + -1xX3 + 0 = 4x2 + -2x3
2X3 + -1xX3 = 4x2 + -2x3

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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