[2a+(b+10)][2a-(b+10)]=0

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Solution for [2a+(b+10)][2a-(b+10)]=0 equation: 


Simplifying
[2a + (b + 10)][2a + -1(b + 10)] = 0

Reorder the terms:
[2a + (10 + b)][2a + -1(b + 10)] = 0

Remove parenthesis around (10 + b)
[2a + 10 + b][2a + -1(b + 10)] = 0

Reorder the terms:
[10 + 2a + b][2a + -1(b + 10)] = 0

Reorder the terms:
[10 + 2a + b][2a + -1(10 + b)] = 0
[10 + 2a + b][2a + (10 * -1 + b * -1)] = 0
[10 + 2a + b][2a + (-10 + -1b)] = 0

Reorder the terms:
[10 + 2a + b][-10 + 2a + -1b] = 0

Multiply [10 + 2a + b] * [-10 + 2a + -1b]
[10[-10 + 2a + -1b] + 2a * [-10 + 2a + -1b] + b[-10 + 2a + -1b]] = 0
[[-10 * 10 + 2a * 10 + -1b * 10] + 2a * [-10 + 2a + -1b] + b[-10 + 2a + -1b]] = 0
[[-100 + 20a + -10b] + 2a * [-10 + 2a + -1b] + b[-10 + 2a + -1b]] = 0
[-100 + 20a + -10b + [-10 * 2a + 2a * 2a + -1b * 2a] + b[-10 + 2a + -1b]] = 0

Reorder the terms:
[-100 + 20a + -10b + [-20a + -2ab + 4a2] + b[-10 + 2a + -1b]] = 0
[-100 + 20a + -10b + [-20a + -2ab + 4a2] + b[-10 + 2a + -1b]] = 0
[-100 + 20a + -10b + -20a + -2ab + 4a2 + [-10 * b + 2a * b + -1b * b]] = 0

Reorder the terms:
[-100 + 20a + -10b + -20a + -2ab + 4a2 + [2ab + -10b + -1b2]] = 0
[-100 + 20a + -10b + -20a + -2ab + 4a2 + [2ab + -10b + -1b2]] = 0

Reorder the terms:
[-100 + 20a + -20a + -2ab + 2ab + 4a2 + -10b + -10b + -1b2] = 0

Combine like terms: 20a + -20a = 0
[-100 + 0 + -2ab + 2ab + 4a2 + -10b + -10b + -1b2] = 0
[-100 + -2ab + 2ab + 4a2 + -10b + -10b + -1b2] = 0

Combine like terms: -2ab + 2ab = 0
[-100 + 0 + 4a2 + -10b + -10b + -1b2] = 0
[-100 + 4a2 + -10b + -10b + -1b2] = 0

Combine like terms: -10b + -10b = -20b
[-100 + 4a2 + -20b + -1b2] = 0

Solving
-100 + 4a2 + -20b + -1b2 = 0

Solving for variable 'a'.

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

Add '100' to each side of the equation.
-100 + 4a2 + -20b + 100 + -1b2 = 0 + 100

Reorder the terms:
-100 + 100 + 4a2 + -20b + -1b2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 4a2 + -20b + -1b2 = 0 + 100
4a2 + -20b + -1b2 = 0 + 100

Combine like terms: 0 + 100 = 100
4a2 + -20b + -1b2 = 100

Add '20b' to each side of the equation.
4a2 + -20b + 20b + -1b2 = 100 + 20b

Combine like terms: -20b + 20b = 0
4a2 + 0 + -1b2 = 100 + 20b
4a2 + -1b2 = 100 + 20b

Add 'b2' to each side of the equation.
4a2 + -1b2 + b2 = 100 + 20b + b2

Combine like terms: -1b2 + b2 = 0
4a2 + 0 = 100 + 20b + b2
4a2 = 100 + 20b + b2

Divide each side by '4'.
a2 = 25 + 5b + 0.25b2

Simplifying
a2 = 25 + 5b + 0.25b2

Reorder the terms:
-25 + a2 + -5b + -0.25b2 = 25 + 5b + 0.25b2 + -25 + -5b + -0.25b2

Reorder the terms:
-25 + a2 + -5b + -0.25b2 = 25 + -25 + 5b + -5b + 0.25b2 + -0.25b2

Combine like terms: 25 + -25 = 0
-25 + a2 + -5b + -0.25b2 = 0 + 5b + -5b + 0.25b2 + -0.25b2
-25 + a2 + -5b + -0.25b2 = 5b + -5b + 0.25b2 + -0.25b2

Combine like terms: 5b + -5b = 0
-25 + a2 + -5b + -0.25b2 = 0 + 0.25b2 + -0.25b2
-25 + a2 + -5b + -0.25b2 = 0.25b2 + -0.25b2

Combine like terms: 0.25b2 + -0.25b2 = 0.00
-25 + a2 + -5b + -0.25b2 = 0.00

The solution to this equation could not be determined.

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