[2a+(b+8)][2a-(b+8)]=0

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Solution for [2a+(b+8)][2a-(b+8)]=0 equation: 


Simplifying
[2a + (b + 8)][2a + -1(b + 8)] = 0

Reorder the terms:
[2a + (8 + b)][2a + -1(b + 8)] = 0

Remove parenthesis around (8 + b)
[2a + 8 + b][2a + -1(b + 8)] = 0

Reorder the terms:
[8 + 2a + b][2a + -1(b + 8)] = 0

Reorder the terms:
[8 + 2a + b][2a + -1(8 + b)] = 0
[8 + 2a + b][2a + (8 * -1 + b * -1)] = 0
[8 + 2a + b][2a + (-8 + -1b)] = 0

Reorder the terms:
[8 + 2a + b][-8 + 2a + -1b] = 0

Multiply [8 + 2a + b] * [-8 + 2a + -1b]
[8[-8 + 2a + -1b] + 2a * [-8 + 2a + -1b] + b[-8 + 2a + -1b]] = 0
[[-8 * 8 + 2a * 8 + -1b * 8] + 2a * [-8 + 2a + -1b] + b[-8 + 2a + -1b]] = 0
[[-64 + 16a + -8b] + 2a * [-8 + 2a + -1b] + b[-8 + 2a + -1b]] = 0
[-64 + 16a + -8b + [-8 * 2a + 2a * 2a + -1b * 2a] + b[-8 + 2a + -1b]] = 0

Reorder the terms:
[-64 + 16a + -8b + [-16a + -2ab + 4a2] + b[-8 + 2a + -1b]] = 0
[-64 + 16a + -8b + [-16a + -2ab + 4a2] + b[-8 + 2a + -1b]] = 0
[-64 + 16a + -8b + -16a + -2ab + 4a2 + [-8 * b + 2a * b + -1b * b]] = 0

Reorder the terms:
[-64 + 16a + -8b + -16a + -2ab + 4a2 + [2ab + -8b + -1b2]] = 0
[-64 + 16a + -8b + -16a + -2ab + 4a2 + [2ab + -8b + -1b2]] = 0

Reorder the terms:
[-64 + 16a + -16a + -2ab + 2ab + 4a2 + -8b + -8b + -1b2] = 0

Combine like terms: 16a + -16a = 0
[-64 + 0 + -2ab + 2ab + 4a2 + -8b + -8b + -1b2] = 0
[-64 + -2ab + 2ab + 4a2 + -8b + -8b + -1b2] = 0

Combine like terms: -2ab + 2ab = 0
[-64 + 0 + 4a2 + -8b + -8b + -1b2] = 0
[-64 + 4a2 + -8b + -8b + -1b2] = 0

Combine like terms: -8b + -8b = -16b
[-64 + 4a2 + -16b + -1b2] = 0

Solving
-64 + 4a2 + -16b + -1b2 = 0

Solving for variable 'a'.

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

Add '64' to each side of the equation.
-64 + 4a2 + -16b + 64 + -1b2 = 0 + 64

Reorder the terms:
-64 + 64 + 4a2 + -16b + -1b2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 4a2 + -16b + -1b2 = 0 + 64
4a2 + -16b + -1b2 = 0 + 64

Combine like terms: 0 + 64 = 64
4a2 + -16b + -1b2 = 64

Add '16b' to each side of the equation.
4a2 + -16b + 16b + -1b2 = 64 + 16b

Combine like terms: -16b + 16b = 0
4a2 + 0 + -1b2 = 64 + 16b
4a2 + -1b2 = 64 + 16b

Add 'b2' to each side of the equation.
4a2 + -1b2 + b2 = 64 + 16b + b2

Combine like terms: -1b2 + b2 = 0
4a2 + 0 = 64 + 16b + b2
4a2 = 64 + 16b + b2

Divide each side by '4'.
a2 = 16 + 4b + 0.25b2

Simplifying
a2 = 16 + 4b + 0.25b2

Reorder the terms:
-16 + a2 + -4b + -0.25b2 = 16 + 4b + 0.25b2 + -16 + -4b + -0.25b2

Reorder the terms:
-16 + a2 + -4b + -0.25b2 = 16 + -16 + 4b + -4b + 0.25b2 + -0.25b2

Combine like terms: 16 + -16 = 0
-16 + a2 + -4b + -0.25b2 = 0 + 4b + -4b + 0.25b2 + -0.25b2
-16 + a2 + -4b + -0.25b2 = 4b + -4b + 0.25b2 + -0.25b2

Combine like terms: 4b + -4b = 0
-16 + a2 + -4b + -0.25b2 = 0 + 0.25b2 + -0.25b2
-16 + a2 + -4b + -0.25b2 = 0.25b2 + -0.25b2

Combine like terms: 0.25b2 + -0.25b2 = 0.00
-16 + a2 + -4b + -0.25b2 = 0.00

The solution to this equation could not be determined.

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