a(2a+3b)=0

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


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

Reorder the terms:
(3ab + 2a2) = 0
(3ab + 2a2) = 0

Solving
3ab + 2a2 = 0

Solving for variable 'a'.

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


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

Simplifying
3b + 2a = 0

Reorder the terms:
2a + 3b = 0

Solving
2a + 3b = 0

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

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

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

Divide each side by '2'.
a = -1.5b

Simplifying
a = -1.5b
Solution
a = {0, -1.5b}

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