4(6a-4a(2a+2b)+8a)=

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Solution for 4(6a-4a(2a+2b)+8a)= equation: 


Simplifying
4(6a + -4a(2a + 2b) + 8a) = 0
4(6a + (2a * -4a + 2b * -4a) + 8a) = 0

Reorder the terms:
4(6a + (-8ab + -8a2) + 8a) = 0
4(6a + (-8ab + -8a2) + 8a) = 0

Reorder the terms:
4(6a + 8a + -8ab + -8a2) = 0

Combine like terms: 6a + 8a = 14a
4(14a + -8ab + -8a2) = 0
(14a * 4 + -8ab * 4 + -8a2 * 4) = 0
(56a + -32ab + -32a2) = 0

Solving
56a + -32ab + -32a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a'.
8a(7 + -4b + -4a) = 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 '(7 + -4b + -4a)' equal to zero and attempt to solve:

Simplifying
7 + -4b + -4a = 0

Reorder the terms:
7 + -4a + -4b = 0

Solving
7 + -4a + -4b = 0

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

Add '-7' to each side of the equation.
7 + -4a + -7 + -4b = 0 + -7

Reorder the terms:
7 + -7 + -4a + -4b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4a + -4b = 0 + -7
-4a + -4b = 0 + -7

Combine like terms: 0 + -7 = -7
-4a + -4b = -7

Add '4b' to each side of the equation.
-4a + -4b + 4b = -7 + 4b

Combine like terms: -4b + 4b = 0
-4a + 0 = -7 + 4b
-4a = -7 + 4b

Divide each side by '-4'.
a = 1.75 + -1b

Simplifying
a = 1.75 + -1b
Solution
a = {0, 1.75 + -1b}

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