=-2x(y+3)

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


Simplifying
0 = -2x(y + 3)

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

Solving
0 = -6x + -2xy

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
0 + 6x = -6x + 6x + -2xy
Remove the zero:
6x = -6x + 6x + -2xy

Combine like terms: -6x + 6x = 0
6x = 0 + -2xy
6x = -2xy

Add '2xy' to each side of the equation.
6x + 2xy = -2xy + 2xy

Combine like terms: -2xy + 2xy = 0
6x + 2xy = 0

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

Simplifying
3 + y = 0

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

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

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

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

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

Simplifying
0 = -3 + -1y

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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