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

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


Simplifying
(3x + 6)(X + -3X2) = 0

Reorder the terms:
(6 + 3x)(X + -3X2) = 0

Multiply (6 + 3x) * (X + -3X2)
(6(X + -3X2) + 3x * (X + -3X2)) = 0
((X * 6 + -3X2 * 6) + 3x * (X + -3X2)) = 0
((6X + -18X2) + 3x * (X + -3X2)) = 0
(6X + -18X2 + (X * 3x + -3X2 * 3x)) = 0
(6X + -18X2 + (3xX + -9xX2)) = 0
(6X + -18X2 + 3xX + -9xX2) = 0

Solving
6X + -18X2 + 3xX + -9xX2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '3X'.
3X(2 + -6X + x + -3xX) = 0

Ignore the factor 3.

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 '(2 + -6X + x + -3xX)' equal to zero and attempt to solve:

Simplifying
2 + -6X + x + -3xX = 0

Solving
2 + -6X + x + -3xX = 0

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

Add '-2' to each side of the equation.
2 + -6X + x + -2 + -3xX = 0 + -2

Reorder the terms:
2 + -2 + -6X + x + -3xX = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -6X + x + -3xX = 0 + -2
-6X + x + -3xX = 0 + -2

Combine like terms: 0 + -2 = -2
-6X + x + -3xX = -2

Add '-1x' to each side of the equation.
-6X + x + -1x + -3xX = -2 + -1x

Combine like terms: x + -1x = 0
-6X + 0 + -3xX = -2 + -1x
-6X + -3xX = -2 + -1x

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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