8ab+3a(a-2b)=

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Solution for 8ab+3a(a-2b)= equation: 


Simplifying
8ab + 3a(a + -2b) = 0
8ab + (a * 3a + -2b * 3a) = 0

Reorder the terms:
8ab + (-6ab + 3a2) = 0
8ab + (-6ab + 3a2) = 0

Combine like terms: 8ab + -6ab = 2ab
2ab + 3a2 = 0

Solving
2ab + 3a2 = 0

Solving for variable 'a'.

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