(x+3)(x+3)=64

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

Simplifying
(x + 3)(x + 3) = 64

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

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

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = 64
((3 * 3 + x * 3) + x(3 + x)) = 64
((9 + 3x) + x(3 + x)) = 64
(9 + 3x + (3 * x + x * x)) = 64
(9 + 3x + (3x + x2)) = 64

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = 64

Solving
9 + 6x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
9 + -64 + 6x + x2 = 64 + -64

Combine like terms: 9 + -64 = -55
-55 + 6x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-55 + 6x + x2 = 0

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

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

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

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

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

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

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