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

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

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

Reorder the terms:
(-1a + x)(x + a) + a2 = 0

Reorder the terms:
(-1a + x)(a + x) + a2 = 0

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

Reorder the terms:
((-1ax + -1a2) + x(a + x)) + a2 = 0
((-1ax + -1a2) + x(a + x)) + a2 = 0
(-1ax + -1a2 + (a * x + x * x)) + a2 = 0
(-1ax + -1a2 + (ax + x2)) + a2 = 0

Reorder the terms:
(-1ax + ax + -1a2 + x2) + a2 = 0

Combine like terms: -1ax + ax = 0
(0 + -1a2 + x2) + a2 = 0
(-1a2 + x2) + a2 = 0

Reorder the terms:
-1a2 + a2 + x2 = 0

Combine like terms: -1a2 + a2 = 0
0 + x2 = 0
x2 = 0

Solving
x2 = 0

Solving for variable 'x'.

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}