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

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

Simplifying
(a + b)(a + b) + -1a2 = 0

Multiply (a + b) * (a + b)
(a(a + b) + b(a + b)) + -1a2 = 0
((a * a + b * a) + b(a + b)) + -1a2 = 0

Reorder the terms:
((ab + a2) + b(a + b)) + -1a2 = 0
((ab + a2) + b(a + b)) + -1a2 = 0
(ab + a2 + (a * b + b * b)) + -1a2 = 0
(ab + a2 + (ab + b2)) + -1a2 = 0

Reorder the terms:
(ab + ab + a2 + b2) + -1a2 = 0

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

Reorder the terms:
2ab + a2 + -1a2 + b2 = 0

Combine like terms: a2 + -1a2 = 0
2ab + 0 + b2 = 0
2ab + b2 = 0

Solving
2ab + b2 = 0

Solving for variable 'a'.

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

Add '-1b2' to each side of the equation.
2ab + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
2ab + 0 = 0 + -1b2
2ab = 0 + -1b2
Remove the zero:
2ab = -1b2

Divide each side by '2b'.
a = -0.5b

Simplifying
a = -0.5b