(2a+2b)(2a+2b)=

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Solution for (2a+2b)(2a+2b)= equation: 


Simplifying
(2a + 2b)(2a + 2b) = 0

Multiply (2a + 2b) * (2a + 2b)
(2a * (2a + 2b) + 2b * (2a + 2b)) = 0
((2a * 2a + 2b * 2a) + 2b * (2a + 2b)) = 0

Reorder the terms:
((4ab + 4a2) + 2b * (2a + 2b)) = 0
((4ab + 4a2) + 2b * (2a + 2b)) = 0
(4ab + 4a2 + (2a * 2b + 2b * 2b)) = 0
(4ab + 4a2 + (4ab + 4b2)) = 0

Reorder the terms:
(4ab + 4ab + 4a2 + 4b2) = 0

Combine like terms: 4ab + 4ab = 8ab
(8ab + 4a2 + 4b2) = 0

Solving
8ab + 4a2 + 4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2ab + a2 + b2) = 0

Factor a trinomial.
4((a + b)(a + b)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(a + b)' equal to zero and attempt to solve:

Simplifying
a + b = 0

Solving
a + b = 0

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

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

Combine like terms: b + -1b = 0
a + 0 = 0 + -1b
a = 0 + -1b
Remove the zero:
a = -1b

Simplifying
a = -1b

Subproblem 2
Set the factor '(a + b)' equal to zero and attempt to solve:

Simplifying
a + b = 0

Solving
a + b = 0

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

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

Combine like terms: b + -1b = 0
a + 0 = 0 + -1b
a = 0 + -1b
Remove the zero:
a = -1b

Simplifying
a = -1b
Solution
a = {-1b, -1b}

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