6x(y+5)=

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Solution for 6x(y+5)= equation: 


Simplifying
6x(y + 5) = 0

Reorder the terms:
6x(5 + y) = 0
(5 * 6x + y * 6x) = 0
(30x + 6xy) = 0

Solving
30x + 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), '6x'.
6x(5 + y) = 0

Ignore the factor 6.

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

Simplifying
5 + y = 0

Solving
5 + y = 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 + y = 0 + -5

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

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

Add '-1y' to each side of the equation.
y + -1y = -5 + -1y

Combine like terms: y + -1y = 0
0 = -5 + -1y

Simplifying
0 = -5 + -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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