2a(a+3b)=0

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Solution for 2a(a+3b)=0 equation: 


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

Reorder the terms:
(6ab + 2a2) = 0
(6ab + 2a2) = 0

Solving
6ab + 2a2 = 0

Solving for variable 'a'.

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

Ignore the factor 2.

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 '(3b + a)' equal to zero and attempt to solve:

Simplifying
3b + a = 0

Reorder the terms:
a + 3b = 0

Solving
a + 3b = 0

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

Add '-3b' to each side of the equation.
a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
a + 0 = 0 + -3b
a = 0 + -3b
Remove the zero:
a = -3b

Simplifying
a = -3b
Solution
a = {0, -3b}

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