(x+4)(x+4)=64

Solution for (x+4)(x+4)=64 equation:

Simplifying
(x + 4)(x + 4) = 64

Reorder the terms:
(4 + x)(x + 4) = 64

Reorder the terms:
(4 + x)(4 + x) = 64

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = 64
((4 * 4 + x * 4) + x(4 + x)) = 64
((16 + 4x) + x(4 + x)) = 64
(16 + 4x + (4 * x + x * x)) = 64
(16 + 4x + (4x + x2)) = 64

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = 64

Solving
16 + 8x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
16 + -64 + 8x + x2 = 64 + -64

Combine like terms: 16 + -64 = -48
-48 + 8x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-48 + 8x + x2 = 0

Factor a trinomial.
(-12 + -1x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-12, 4}