(x+9)(x+9)=64

Solution for (x+9)(x+9)=64 equation:

Simplifying
(x + 9)(x + 9) = 64

Reorder the terms:
(9 + x)(x + 9) = 64

Reorder the terms:
(9 + x)(9 + x) = 64

Multiply (9 + x) * (9 + x)
(9(9 + x) + x(9 + x)) = 64
((9 * 9 + x * 9) + x(9 + x)) = 64
((81 + 9x) + x(9 + x)) = 64
(81 + 9x + (9 * x + x * x)) = 64
(81 + 9x + (9x + x2)) = 64

Combine like terms: 9x + 9x = 18x
(81 + 18x + x2) = 64

Solving
81 + 18x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
81 + -64 + 18x + x2 = 64 + -64

Combine like terms: 81 + -64 = 17
17 + 18x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
17 + 18x + x2 = 0

Factor a trinomial.
(17 + x)(1 + x) = 0

Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-17, -1}