a^2+2a-a^2-a^2=0

Solution for a^2+2a-a^2-a^2=0 equation:

Simplifying
a2 + 2a + -1a2 + -1a2 = 0

Reorder the terms:
2a + a2 + -1a2 + -1a2 = 0

Combine like terms: a2 + -1a2 = 0
2a + 0 + -1a2 = 0
2a + -1a2 = 0

Solving
2a + -1a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(2 + -1a) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

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

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {0, 2}