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

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

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

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

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

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

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

Solving
64 = 9 + 6x + x2

Solving for variable 'x'.

Combine like terms: 64 + -9 = 55
55 + -6x + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Reorder the terms:
55 + -6x + -1x2 = 9 + -9 + 6x + -6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
55 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
55 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
55 + -6x + -1x2 = 0 + x2 + -1x2
55 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
55 + -6x + -1x2 = 0

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

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

Simplifying
11 + x = 0

Solving
11 + x = 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 + x = 0 + -11

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

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

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