4x(y+3)-2x(1-y)=

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Solution for 4x(y+3)-2x(1-y)= equation: 


Simplifying
4x(y + 3) + -2x(1 + -1y) = 0

Reorder the terms:
4x(3 + y) + -2x(1 + -1y) = 0
(3 * 4x + y * 4x) + -2x(1 + -1y) = 0
(12x + 4xy) + -2x(1 + -1y) = 0
12x + 4xy + (1 * -2x + -1y * -2x) = 0
12x + 4xy + (-2x + 2xy) = 0

Reorder the terms:
12x + -2x + 4xy + 2xy = 0

Combine like terms: 12x + -2x = 10x
10x + 4xy + 2xy = 0

Combine like terms: 4xy + 2xy = 6xy
10x + 6xy = 0

Solving
10x + 6xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + 3y) = 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 '(5 + 3y)' equal to zero and attempt to solve:

Simplifying
5 + 3y = 0

Solving
5 + 3y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3y = 0 + -5
3y = 0 + -5

Combine like terms: 0 + -5 = -5
3y = -5

Add '-3y' to each side of the equation.
3y + -3y = -5 + -3y

Combine like terms: 3y + -3y = 0
0 = -5 + -3y

Simplifying
0 = -5 + -3y

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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