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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
a2 = 64 + 16b + b2

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

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

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

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

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

The solution to this equation could not be determined.

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