2[2a-2a(2a+2b)+4a^2]=

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


Simplifying
2[2a + -2a(2a + 2b) + 4a2] = 0
2[2a + (2a * -2a + 2b * -2a) + 4a2] = 0

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

Combine like terms: -4a2 + 4a2 = 0
2[2a + -4ab + 0] = 0
2[2a + -4ab] = 0
[2a * 2 + -4ab * 2] = 0
[4a + -8ab] = 0

Solving
4a + -8ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '4a'.
4a(1 + -2b) = 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 '(1 + -2b)' equal to zero and attempt to solve:

Simplifying
1 + -2b = 0

Solving
1 + -2b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Add '2b' to each side of the equation.
-2b + 2b = -1 + 2b

Combine like terms: -2b + 2b = 0
0 = -1 + 2b

Simplifying
0 = -1 + 2b

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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