6x(x+2y+3x)=

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Solution for 6x(x+2y+3x)= equation: 


Simplifying
6x(x + 2y + 3x) = 0

Reorder the terms:
6x(x + 3x + 2y) = 0

Combine like terms: x + 3x = 4x
6x(4x + 2y) = 0
(4x * 6x + 2y * 6x) = 0

Reorder the terms:
(12xy + 24x2) = 0
(12xy + 24x2) = 0

Solving
12xy + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(y + 2x) = 0

Ignore the factor 12.

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 '(y + 2x)' equal to zero and attempt to solve:

Simplifying
y + 2x = 0

Reorder the terms:
2x + y = 0

Solving
2x + y = 0

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

Add '-1y' to each side of the equation.
2x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 0 + -1y
2x = 0 + -1y
Remove the zero:
2x = -1y

Divide each side by '2'.
x = -0.5y

Simplifying
x = -0.5y
Solution
x = {0, -0.5y}

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