(x+2)(x+2)=64

Solution for (x+2)(x+2)=64 equation:

Simplifying
(x + 2)(x + 2) = 64

Reorder the terms:
(2 + x)(x + 2) = 64

Reorder the terms:
(2 + x)(2 + x) = 64

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = 64
((2 * 2 + x * 2) + x(2 + x)) = 64
((4 + 2x) + x(2 + x)) = 64
(4 + 2x + (2 * x + x * x)) = 64
(4 + 2x + (2x + x2)) = 64

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = 64

Solving
4 + 4x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
4 + -64 + 4x + x2 = 64 + -64

Combine like terms: 4 + -64 = -60
-60 + 4x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-60 + 4x + x2 = 0

Factor a trinomial.
(-10 + -1x)(6 + -1x) = 0

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

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

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

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

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

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

Simplifying
x = -10
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-10, 6}