(3+2*a)2=121

Solution for (3+2*a)2=121 equation:

Simplifying
(3 + 2a) * 2 = 121

Reorder the terms for easier multiplication:
2(3 + 2a) = 121
(3 * 2 + 2a * 2) = 121
(6 + 4a) = 121

Solving
6 + 4a = 121

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 + 4a = 121 + -6

Combine like terms: 6 + -6 = 0
0 + 4a = 121 + -6
4a = 121 + -6

Combine like terms: 121 + -6 = 115
4a = 115

Divide each side by '4'.
a = 28.75

Simplifying
a = 28.75