(z+6)2=5

Solution for (z+6)2=5 equation:

Simplifying
(z + 6) * 2 = 5

Reorder the terms:
(6 + z) * 2 = 5

Reorder the terms for easier multiplication:
2(6 + z) = 5
(6 * 2 + z * 2) = 5
(12 + 2z) = 5

Solving
12 + 2z = 5

Solving for variable 'z'.

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

Add '-12' to each side of the equation.
12 + -12 + 2z = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 2z = 5 + -12
2z = 5 + -12

Combine like terms: 5 + -12 = -7
2z = -7

Divide each side by '2'.
z = -3.5

Simplifying
z = -3.5