3x(x+2)x=

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Solution for 3x(x+2)x= equation: 


Simplifying
3x(x + 2) * x = 0

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

Reorder the terms for easier multiplication:
3x * x(2 + x) = 0

Multiply x * x
3x2(2 + x) = 0
(2 * 3x2 + x * 3x2) = 0
(6x2 + 3x3) = 0

Solving
6x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(2 + x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0, -2}

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