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

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


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

Reorder the terms:
-4a[-4(-2 + a + 3b) + -6b(a + -2)] = 0
-4a[(-2 * -4 + a * -4 + 3b * -4) + -6b(a + -2)] = 0
-4a[(8 + -4a + -12b) + -6b(a + -2)] = 0

Reorder the terms:
-4a[8 + -4a + -12b + -6b(-2 + a)] = 0
-4a[8 + -4a + -12b + (-2 * -6b + a * -6b)] = 0

Reorder the terms:
-4a[8 + -4a + -12b + (-6ab + 12b)] = 0
-4a[8 + -4a + -12b + (-6ab + 12b)] = 0

Reorder the terms:
-4a[8 + -4a + -6ab + -12b + 12b] = 0

Combine like terms: -12b + 12b = 0
-4a[8 + -4a + -6ab + 0] = 0
-4a[8 + -4a + -6ab] = 0
[8 * -4a + -4a * -4a + -6ab * -4a] = 0
[-32a + 16a2 + 24a2b] = 0

Solving
-32a + 16a2 + 24a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a'.
8a(-4 + 2a + 3ab) = 0

Ignore the factor 8.

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 '(-4 + 2a + 3ab)' equal to zero and attempt to solve:

Simplifying
-4 + 2a + 3ab = 0

Solving
-4 + 2a + 3ab = 0

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

Add '4' to each side of the equation.
-4 + 2a + 4 + 3ab = 0 + 4

Reorder the terms:
-4 + 4 + 2a + 3ab = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2a + 3ab = 0 + 4
2a + 3ab = 0 + 4

Combine like terms: 0 + 4 = 4
2a + 3ab = 4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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