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

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


Simplifying
4x(6 + y) = 12x + 8xy
(6 * 4x + y * 4x) = 12x + 8xy
(24x + 4xy) = 12x + 8xy

Solving
24x + 4xy = 12x + 8xy

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.
24x + -12x + 4xy = 12x + -12x + 8xy

Combine like terms: 24x + -12x = 12x
12x + 4xy = 12x + -12x + 8xy

Combine like terms: 12x + -12x = 0
12x + 4xy = 0 + 8xy
12x + 4xy = 8xy

Add '-8xy' to each side of the equation.
12x + 4xy + -8xy = 8xy + -8xy

Combine like terms: 4xy + -8xy = -4xy
12x + -4xy = 8xy + -8xy

Combine like terms: 8xy + -8xy = 0
12x + -4xy = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(3 + -1y) = 0

Ignore the factor 4.

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 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

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

Combine like terms: -1y + y = 0
0 = -3 + y

Simplifying
0 = -3 + y

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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