(a+3)2=64

Solution for (a+3)2=64 equation:

Simplifying
(a + 3) * 2 = 64

Reorder the terms:
(3 + a) * 2 = 64

Reorder the terms for easier multiplication:
2(3 + a) = 64
(3 * 2 + a * 2) = 64
(6 + 2a) = 64

Solving
6 + 2a = 64

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 2a = 64 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 64 + -6
2a = 64 + -6

Combine like terms: 64 + -6 = 58
2a = 58

Divide each side by '2'.
a = 29

Simplifying
a = 29