3a(a+2b)=

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Solution for 3a(a+2b)= equation: 


Simplifying
3a(a + 2b) = 0
(a * 3a + 2b * 3a) = 0

Reorder the terms:
(6ab + 3a2) = 0
(6ab + 3a2) = 0

Solving
6ab + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(2b + a) = 0

Ignore the factor 3.

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 '(2b + a)' equal to zero and attempt to solve:

Simplifying
2b + a = 0

Reorder the terms:
a + 2b = 0

Solving
a + 2b = 0

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

Add '-2b' to each side of the equation.
a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
a + 0 = 0 + -2b
a = 0 + -2b
Remove the zero:
a = -2b

Simplifying
a = -2b
Solution
a = {0, -2b}

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