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

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


Simplifying
(X + 2) * x(x + -6) = 0

Reorder the terms:
(2 + X) * x(x + -6) = 0

Reorder the terms:
(2 + X) * x(-6 + x) = 0

Reorder the terms for easier multiplication:
x(2 + X)(-6 + x) = 0

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

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

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

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + -6X + 2x + xX) = 0


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 '(-12 + -6X + 2x + xX)' equal to zero and attempt to solve:

Simplifying
-12 + -6X + 2x + xX = 0

Solving
-12 + -6X + 2x + xX = 0

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

Add '12' to each side of the equation.
-12 + -6X + 2x + 12 + xX = 0 + 12

Reorder the terms:
-12 + 12 + -6X + 2x + xX = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -6X + 2x + xX = 0 + 12
-6X + 2x + xX = 0 + 12

Combine like terms: 0 + 12 = 12
-6X + 2x + xX = 12

Add '6X' to each side of the equation.
-6X + 2x + 6X + xX = 12 + 6X

Reorder the terms:
-6X + 6X + 2x + xX = 12 + 6X

Combine like terms: -6X + 6X = 0
0 + 2x + xX = 12 + 6X
2x + xX = 12 + 6X

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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