(a+4)2=a

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

Simplifying
(a + 4) * 2 = a

Reorder the terms:
(4 + a) * 2 = a

Reorder the terms for easier multiplication:
2(4 + a) = a
(4 * 2 + a * 2) = a
(8 + 2a) = a

Solving
8 + 2a = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
8 + 2a + -1a = a + -1a

Combine like terms: 2a + -1a = 1a
8 + 1a = a + -1a

Combine like terms: a + -1a = 0
8 + 1a = 0

Add '-8' to each side of the equation.
8 + -8 + 1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 1a = 0 + -8
1a = 0 + -8

Combine like terms: 0 + -8 = -8
1a = -8

Divide each side by '1'.
a = -8

Simplifying
a = -8