A^2+(B+2)(B+2)=100

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Solution for A^2+(B+2)(B+2)=100 equation: 


Simplifying
A2 + (B + 2)(B + 2) = 100

Reorder the terms:
A2 + (2 + B)(B + 2) = 100

Reorder the terms:
A2 + (2 + B)(2 + B) = 100

Multiply (2 + B) * (2 + B)
A2 + (2(2 + B) + B(2 + B)) = 100
A2 + ((2 * 2 + B * 2) + B(2 + B)) = 100
A2 + ((4 + 2B) + B(2 + B)) = 100
A2 + (4 + 2B + (2 * B + B * B)) = 100
A2 + (4 + 2B + (2B + B2)) = 100

Combine like terms: 2B + 2B = 4B
A2 + (4 + 4B + B2) = 100

Reorder the terms:
4 + A2 + 4B + B2 = 100

Solving
4 + A2 + 4B + B2 = 100

Solving for variable 'A'.

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

Add '-4' to each side of the equation.
4 + A2 + 4B + -4 + B2 = 100 + -4

Reorder the terms:
4 + -4 + A2 + 4B + B2 = 100 + -4

Combine like terms: 4 + -4 = 0
0 + A2 + 4B + B2 = 100 + -4
A2 + 4B + B2 = 100 + -4

Combine like terms: 100 + -4 = 96
A2 + 4B + B2 = 96

Add '-4B' to each side of the equation.
A2 + 4B + -4B + B2 = 96 + -4B

Combine like terms: 4B + -4B = 0
A2 + 0 + B2 = 96 + -4B
A2 + B2 = 96 + -4B

Add '-1B2' to each side of the equation.
A2 + B2 + -1B2 = 96 + -4B + -1B2

Combine like terms: B2 + -1B2 = 0
A2 + 0 = 96 + -4B + -1B2
A2 = 96 + -4B + -1B2

Simplifying
A2 = 96 + -4B + -1B2

Reorder the terms:
-96 + A2 + 4B + B2 = 96 + -4B + -1B2 + -96 + 4B + B2

Reorder the terms:
-96 + A2 + 4B + B2 = 96 + -96 + -4B + 4B + -1B2 + B2

Combine like terms: 96 + -96 = 0
-96 + A2 + 4B + B2 = 0 + -4B + 4B + -1B2 + B2
-96 + A2 + 4B + B2 = -4B + 4B + -1B2 + B2

Combine like terms: -4B + 4B = 0
-96 + A2 + 4B + B2 = 0 + -1B2 + B2
-96 + A2 + 4B + B2 = -1B2 + B2

Combine like terms: -1B2 + B2 = 0
-96 + A2 + 4B + B2 = 0

The solution to this equation could not be determined.

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