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

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


Simplifying
(2a + (b + 4))(2a + -1(b + 4)) = 0

Reorder the terms:
(2a + (4 + b))(2a + -1(b + 4)) = 0

Remove parenthesis around (4 + b)
(2a + 4 + b)(2a + -1(b + 4)) = 0

Reorder the terms:
(4 + 2a + b)(2a + -1(b + 4)) = 0

Reorder the terms:
(4 + 2a + b)(2a + -1(4 + b)) = 0
(4 + 2a + b)(2a + (4 * -1 + b * -1)) = 0
(4 + 2a + b)(2a + (-4 + -1b)) = 0

Reorder the terms:
(4 + 2a + b)(-4 + 2a + -1b) = 0

Multiply (4 + 2a + b) * (-4 + 2a + -1b)
(4(-4 + 2a + -1b) + 2a * (-4 + 2a + -1b) + b(-4 + 2a + -1b)) = 0
((-4 * 4 + 2a * 4 + -1b * 4) + 2a * (-4 + 2a + -1b) + b(-4 + 2a + -1b)) = 0
((-16 + 8a + -4b) + 2a * (-4 + 2a + -1b) + b(-4 + 2a + -1b)) = 0
(-16 + 8a + -4b + (-4 * 2a + 2a * 2a + -1b * 2a) + b(-4 + 2a + -1b)) = 0

Reorder the terms:
(-16 + 8a + -4b + (-8a + -2ab + 4a2) + b(-4 + 2a + -1b)) = 0
(-16 + 8a + -4b + (-8a + -2ab + 4a2) + b(-4 + 2a + -1b)) = 0
(-16 + 8a + -4b + -8a + -2ab + 4a2 + (-4 * b + 2a * b + -1b * b)) = 0

Reorder the terms:
(-16 + 8a + -4b + -8a + -2ab + 4a2 + (2ab + -4b + -1b2)) = 0
(-16 + 8a + -4b + -8a + -2ab + 4a2 + (2ab + -4b + -1b2)) = 0

Reorder the terms:
(-16 + 8a + -8a + -2ab + 2ab + 4a2 + -4b + -4b + -1b2) = 0

Combine like terms: 8a + -8a = 0
(-16 + 0 + -2ab + 2ab + 4a2 + -4b + -4b + -1b2) = 0
(-16 + -2ab + 2ab + 4a2 + -4b + -4b + -1b2) = 0

Combine like terms: -2ab + 2ab = 0
(-16 + 0 + 4a2 + -4b + -4b + -1b2) = 0
(-16 + 4a2 + -4b + -4b + -1b2) = 0

Combine like terms: -4b + -4b = -8b
(-16 + 4a2 + -8b + -1b2) = 0

Solving
-16 + 4a2 + -8b + -1b2 = 0

Solving for variable 'a'.

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

Add '16' to each side of the equation.
-16 + 4a2 + -8b + 16 + -1b2 = 0 + 16

Reorder the terms:
-16 + 16 + 4a2 + -8b + -1b2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 4a2 + -8b + -1b2 = 0 + 16
4a2 + -8b + -1b2 = 0 + 16

Combine like terms: 0 + 16 = 16
4a2 + -8b + -1b2 = 16

Add '8b' to each side of the equation.
4a2 + -8b + 8b + -1b2 = 16 + 8b

Combine like terms: -8b + 8b = 0
4a2 + 0 + -1b2 = 16 + 8b
4a2 + -1b2 = 16 + 8b

Add 'b2' to each side of the equation.
4a2 + -1b2 + b2 = 16 + 8b + b2

Combine like terms: -1b2 + b2 = 0
4a2 + 0 = 16 + 8b + b2
4a2 = 16 + 8b + b2

Divide each side by '4'.
a2 = 4 + 2b + 0.25b2

Simplifying
a2 = 4 + 2b + 0.25b2

Reorder the terms:
-4 + a2 + -2b + -0.25b2 = 4 + 2b + 0.25b2 + -4 + -2b + -0.25b2

Reorder the terms:
-4 + a2 + -2b + -0.25b2 = 4 + -4 + 2b + -2b + 0.25b2 + -0.25b2

Combine like terms: 4 + -4 = 0
-4 + a2 + -2b + -0.25b2 = 0 + 2b + -2b + 0.25b2 + -0.25b2
-4 + a2 + -2b + -0.25b2 = 2b + -2b + 0.25b2 + -0.25b2

Combine like terms: 2b + -2b = 0
-4 + a2 + -2b + -0.25b2 = 0 + 0.25b2 + -0.25b2
-4 + a2 + -2b + -0.25b2 = 0.25b2 + -0.25b2

Combine like terms: 0.25b2 + -0.25b2 = 0.00
-4 + a2 + -2b + -0.25b2 = 0.00

The solution to this equation could not be determined.

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