(a^2-4)=a+2

Solution for (a^2-4)=a+2 equation:

Simplifying
(a2 + -4) = a + 2

Reorder the terms:
(-4 + a2) = a + 2

Remove parenthesis around (-4 + a2)
-4 + a2 = a + 2

Reorder the terms:
-4 + a2 = 2 + a

Solving
-4 + a2 = 2 + a

Solving for variable 'a'.

Reorder the terms:
-4 + -2 + -1a + a2 = 2 + a + -2 + -1a

Combine like terms: -4 + -2 = -6
-6 + -1a + a2 = 2 + a + -2 + -1a

Reorder the terms:
-6 + -1a + a2 = 2 + -2 + a + -1a

Combine like terms: 2 + -2 = 0
-6 + -1a + a2 = 0 + a + -1a
-6 + -1a + a2 = a + -1a

Combine like terms: a + -1a = 0
-6 + -1a + a2 = 0

Factor a trinomial.
(-2 + -1a)(3 + -1a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Solution
a = {-2, 3}