(x+6)(x+6)=64

Solution for (x+6)(x+6)=64 equation:

Simplifying
(x + 6)(x + 6) = 64

Reorder the terms:
(6 + x)(x + 6) = 64

Reorder the terms:
(6 + x)(6 + x) = 64

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = 64
((6 * 6 + x * 6) + x(6 + x)) = 64
((36 + 6x) + x(6 + x)) = 64
(36 + 6x + (6 * x + x * x)) = 64
(36 + 6x + (6x + x2)) = 64

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = 64

Solving
36 + 12x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
36 + -64 + 12x + x2 = 64 + -64

Combine like terms: 36 + -64 = -28
-28 + 12x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-28 + 12x + x2 = 0

Factor a trinomial.
(-14 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

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

Simplifying
x = 2
Solution
x = {-14, 2}