(X+3)x(2x-4)=0

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Solution for (X+3)x(2x-4)=0 equation: 


Simplifying
(X + 3) * x(2x + -4) = 0

Reorder the terms:
(3 + X) * x(2x + -4) = 0

Reorder the terms:
(3 + X) * x(-4 + 2x) = 0

Reorder the terms for easier multiplication:
x(3 + X)(-4 + 2x) = 0

Multiply (3 + X) * (-4 + 2x)
x(3(-4 + 2x) + X(-4 + 2x)) = 0
x((-4 * 3 + 2x * 3) + X(-4 + 2x)) = 0
x((-12 + 6x) + X(-4 + 2x)) = 0
x(-12 + 6x + (-4 * X + 2x * X)) = 0
x(-12 + 6x + (-4X + 2xX)) = 0

Reorder the terms:
x(-12 + -4X + 6x + 2xX) = 0
x(-12 + -4X + 6x + 2xX) = 0
(-12 * x + -4X * x + 6x * x + 2xX * x) = 0
(-12x + -4xX + 6x2 + 2x2X) = 0

Solving
-12x + -4xX + 6x2 + 2x2X = 0

Solving for variable 'x'.

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

Ignore the factor 2.

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

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

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

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

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

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

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

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

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

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

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

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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