(W+2)(W+2)=169

Solution for (W+2)(W+2)=169 equation:

Simplifying
(W + 2)(W + 2) = 169

Reorder the terms:
(2 + W)(W + 2) = 169

Reorder the terms:
(2 + W)(2 + W) = 169

Multiply (2 + W) * (2 + W)
(2(2 + W) + W(2 + W)) = 169
((2 * 2 + W * 2) + W(2 + W)) = 169
((4 + 2W) + W(2 + W)) = 169
(4 + 2W + (2 * W + W * W)) = 169
(4 + 2W + (2W + W2)) = 169

Combine like terms: 2W + 2W = 4W
(4 + 4W + W2) = 169

Solving
4 + 4W + W2 = 169

Solving for variable 'W'.

Reorder the terms:
4 + -169 + 4W + W2 = 169 + -169

Combine like terms: 4 + -169 = -165
-165 + 4W + W2 = 169 + -169

Combine like terms: 169 + -169 = 0
-165 + 4W + W2 = 0

Factor a trinomial.
(-15 + -1W)(11 + -1W) = 0

Subproblem 1
Set the factor '(-15 + -1W)' equal to zero and attempt to solve:

Simplifying
-15 + -1W = 0

Solving
-15 + -1W = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1W = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1W = 0 + 15
-1W = 0 + 15

Combine like terms: 0 + 15 = 15
-1W = 15

Divide each side by '-1'.
W = -15

Simplifying
W = -15
Subproblem 2
Set the factor '(11 + -1W)' equal to zero and attempt to solve:

Simplifying
11 + -1W = 0

Solving
11 + -1W = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1W = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1W = 0 + -11
-1W = 0 + -11

Combine like terms: 0 + -11 = -11
-1W = -11

Divide each side by '-1'.
W = 11

Simplifying
W = 11
Solution
W = {-15, 11}