(w+4)(w+4)=36

Solution for (w+4)(w+4)=36 equation:

Simplifying
(w + 4)(w + 4) = 36

Reorder the terms:
(4 + w)(w + 4) = 36

Reorder the terms:
(4 + w)(4 + w) = 36

Multiply (4 + w) * (4 + w)
(4(4 + w) + w(4 + w)) = 36
((4 * 4 + w * 4) + w(4 + w)) = 36
((16 + 4w) + w(4 + w)) = 36
(16 + 4w + (4 * w + w * w)) = 36
(16 + 4w + (4w + w2)) = 36

Combine like terms: 4w + 4w = 8w
(16 + 8w + w2) = 36

Solving
16 + 8w + w2 = 36

Solving for variable 'w'.

Reorder the terms:
16 + -36 + 8w + w2 = 36 + -36

Combine like terms: 16 + -36 = -20
-20 + 8w + w2 = 36 + -36

Combine like terms: 36 + -36 = 0
-20 + 8w + w2 = 0

Factor a trinomial.
(-10 + -1w)(2 + -1w) = 0

Subproblem 1
Set the factor '(-10 + -1w)' equal to zero and attempt to solve:

Simplifying
-10 + -1w = 0

Solving
-10 + -1w = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1w = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1w = 0 + 10
-1w = 0 + 10

Combine like terms: 0 + 10 = 10
-1w = 10

Divide each side by '-1'.
w = -10

Simplifying
w = -10
Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve:

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Solution
w = {-10, 2}