(2a+4b)(2a+4b)=

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


Simplifying
(2a + 4b)(2a + 4b) = 0

Multiply (2a + 4b) * (2a + 4b)
(2a * (2a + 4b) + 4b * (2a + 4b)) = 0
((2a * 2a + 4b * 2a) + 4b * (2a + 4b)) = 0

Reorder the terms:
((8ab + 4a2) + 4b * (2a + 4b)) = 0
((8ab + 4a2) + 4b * (2a + 4b)) = 0
(8ab + 4a2 + (2a * 4b + 4b * 4b)) = 0
(8ab + 4a2 + (8ab + 16b2)) = 0

Reorder the terms:
(8ab + 8ab + 4a2 + 16b2) = 0

Combine like terms: 8ab + 8ab = 16ab
(16ab + 4a2 + 16b2) = 0

Solving
16ab + 4a2 + 16b2 = 0

Solving for variable 'a'.

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

Factor a trinomial.
4((a + 2b)(a + 2b)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(a + 2b)' equal to zero and attempt to solve:

Simplifying
a + 2b = 0

Solving
a + 2b = 0

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

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

Combine like terms: 2b + -2b = 0
a + 0 = 0 + -2b
a = 0 + -2b
Remove the zero:
a = -2b

Simplifying
a = -2b

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

Simplifying
a + 2b = 0

Solving
a + 2b = 0

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

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

Combine like terms: 2b + -2b = 0
a + 0 = 0 + -2b
a = 0 + -2b
Remove the zero:
a = -2b

Simplifying
a = -2b
Solution
a = {-2b, -2b}

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