2[4a-3a(2a+6b)+6a]=

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Solution for 2[4a-3a(2a+6b)+6a]= equation: 


Simplifying
2[4a + -3a(2a + 6b) + 6a] = 0
2[4a + (2a * -3a + 6b * -3a) + 6a] = 0

Reorder the terms:
2[4a + (-18ab + -6a2) + 6a] = 0
2[4a + (-18ab + -6a2) + 6a] = 0

Reorder the terms:
2[4a + 6a + -18ab + -6a2] = 0

Combine like terms: 4a + 6a = 10a
2[10a + -18ab + -6a2] = 0
[10a * 2 + -18ab * 2 + -6a2 * 2] = 0
[20a + -36ab + -12a2] = 0

Solving
20a + -36ab + -12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(5 + -9b + -3a) = 0

Ignore the factor 4.

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 '(5 + -9b + -3a)' equal to zero and attempt to solve:

Simplifying
5 + -9b + -3a = 0

Reorder the terms:
5 + -3a + -9b = 0

Solving
5 + -3a + -9b = 0

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

Add '-5' to each side of the equation.
5 + -3a + -5 + -9b = 0 + -5

Reorder the terms:
5 + -5 + -3a + -9b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3a + -9b = 0 + -5
-3a + -9b = 0 + -5

Combine like terms: 0 + -5 = -5
-3a + -9b = -5

Add '9b' to each side of the equation.
-3a + -9b + 9b = -5 + 9b

Combine like terms: -9b + 9b = 0
-3a + 0 = -5 + 9b
-3a = -5 + 9b

Divide each side by '-3'.
a = 1.666666667 + -3b

Simplifying
a = 1.666666667 + -3b
Solution
a = {0, 1.666666667 + -3b}

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