(3-k)2+(3+k)4=

Solution for (3-k)2+(3+k)4= equation:

Simplifying
(3 + -1k) * 2 + (3 + k) * 4 = 0

Reorder the terms for easier multiplication:
2(3 + -1k) + (3 + k) * 4 = 0
(3 * 2 + -1k * 2) + (3 + k) * 4 = 0
(6 + -2k) + (3 + k) * 4 = 0

Reorder the terms for easier multiplication:
6 + -2k + 4(3 + k) = 0
6 + -2k + (3 * 4 + k * 4) = 0
6 + -2k + (12 + 4k) = 0

Reorder the terms:
6 + 12 + -2k + 4k = 0

Combine like terms: 6 + 12 = 18
18 + -2k + 4k = 0

Combine like terms: -2k + 4k = 2k
18 + 2k = 0

Solving
18 + 2k = 0

Solving for variable 'k'.

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

Add '-18' to each side of the equation.
18 + -18 + 2k = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 2k = 0 + -18
2k = 0 + -18

Combine like terms: 0 + -18 = -18
2k = -18

Divide each side by '2'.
k = -9

Simplifying
k = -9