x+2x+3x=x*2x*3x

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Solution for x+2x+3x=x*2x*3x equation: 


Simplifying
x + 2x + 3x = x * 2x * 3x

Combine like terms: x + 2x = 3x
3x + 3x = x * 2x * 3x

Combine like terms: 3x + 3x = 6x
6x = x * 2x * 3x

Reorder the terms for easier multiplication:
6x = 2 * 3x * x * x

Multiply 2 * 3
6x = 6x * x * x

Multiply x * x
6x = 6x2 * x

Multiply x2 * x
6x = 6x3

Solving
6x = 6x3

Solving for variable 'x'.

Combine like terms: 6x3 + -6x3 = 0
6x + -6x3 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(1 + -1x2) = 0

Factor a difference between two squares.
6x((1 + x)(1 + -1x)) = 0

Ignore the factor 6.

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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1

Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0, -1, 1}

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