6x(4y+8)=12x

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Solution for 6x(4y+8)=12x equation: 


Simplifying
6x(4y + 8) = 12x

Reorder the terms:
6x(8 + 4y) = 12x
(8 * 6x + 4y * 6x) = 12x
(48x + 24xy) = 12x

Solving
48x + 24xy = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
48x + -12x + 24xy = 12x + -12x

Combine like terms: 48x + -12x = 36x
36x + 24xy = 12x + -12x

Combine like terms: 12x + -12x = 0
36x + 24xy = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(3 + 2y) = 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 '(3 + 2y)' equal to zero and attempt to solve:

Simplifying
3 + 2y = 0

Solving
3 + 2y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Add '-2y' to each side of the equation.
2y + -2y = -3 + -2y

Combine like terms: 2y + -2y = 0
0 = -3 + -2y

Simplifying
0 = -3 + -2y

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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