2x((y+3x)-2y)=

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


Simplifying
2x((y + 3x) + -2y) = 0

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

Remove parenthesis around (3x + y)
2x(3x + y + -2y) = 0

Combine like terms: y + -2y = -1y
2x(3x + -1y) = 0
(3x * 2x + -1y * 2x) = 0

Reorder the terms:
(-2xy + 6x2) = 0
(-2xy + 6x2) = 0

Solving
-2xy + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1y + 3x) = 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 '(-1y + 3x)' equal to zero and attempt to solve:

Simplifying
-1y + 3x = 0

Reorder the terms:
3x + -1y = 0

Solving
3x + -1y = 0

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

Add 'y' to each side of the equation.
3x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
3x + 0 = 0 + y
3x = 0 + y
Remove the zero:
3x = y

Divide each side by '3'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y
Solution
x = {0, 0.3333333333y}

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