(w+3)(w+3)=64

Solution for (w+3)(w+3)=64 equation:

Simplifying
(w + 3)(w + 3) = 64

Reorder the terms:
(3 + w)(w + 3) = 64

Reorder the terms:
(3 + w)(3 + w) = 64

Multiply (3 + w) * (3 + w)
(3(3 + w) + w(3 + w)) = 64
((3 * 3 + w * 3) + w(3 + w)) = 64
((9 + 3w) + w(3 + w)) = 64
(9 + 3w + (3 * w + w * w)) = 64
(9 + 3w + (3w + w2)) = 64

Combine like terms: 3w + 3w = 6w
(9 + 6w + w2) = 64

Solving
9 + 6w + w2 = 64

Solving for variable 'w'.

Reorder the terms:
9 + -64 + 6w + w2 = 64 + -64

Combine like terms: 9 + -64 = -55
-55 + 6w + w2 = 64 + -64

Combine like terms: 64 + -64 = 0
-55 + 6w + w2 = 0

Factor a trinomial.
(-11 + -1w)(5 + -1w) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {-11, 5}