3a(2b+3a)=

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


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

Reorder the terms:
3a(3a + 2b) = 0
(3a * 3a + 2b * 3a) = 0

Reorder the terms:
(6ab + 9a2) = 0
(6ab + 9a2) = 0

Solving
6ab + 9a2 = 0

Solving for variable 'a'.

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

Simplifying
2b + 3a = 0

Reorder the terms:
3a + 2b = 0

Solving
3a + 2b = 0

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

Add '-2b' to each side of the equation.
3a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
3a + 0 = 0 + -2b
3a = 0 + -2b
Remove the zero:
3a = -2b

Divide each side by '3'.
a = -0.6666666667b

Simplifying
a = -0.6666666667b
Solution
a = {0, -0.6666666667b}

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