(3x+6y)(-2a)=

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Solution for (3x+6y)(-2a)= equation: 


Simplifying
(3x + 6y)(-2a) = 0

Remove parenthesis around (-2a)
(3x + 6y) * -2a = 0

Reorder the terms for easier multiplication:
-2a(3x + 6y) = 0
(3x * -2a + 6y * -2a) = 0
(-6ax + -12ay) = 0

Solving
-6ax + -12ay = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '-6a'.
-6a(x + 2y) = 0

Ignore the factor -6.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(x + 2y)' equal to zero and attempt to solve:

Simplifying
x + 2y = 0

Solving
x + 2y = 0

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

Add '-1x' to each side of the equation.
x + -1x + 2y = 0 + -1x

Combine like terms: x + -1x = 0
0 + 2y = 0 + -1x
2y = 0 + -1x
Remove the zero:
2y = -1x

Add '-2y' to each side of the equation.
2y + -2y = -1x + -2y

Combine like terms: 2y + -2y = 0
0 = -1x + -2y

Simplifying
0 = -1x + -2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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