(x+5)(x+5)=16

Solution for (x+5)(x+5)=16 equation:

Simplifying
(x + 5)(x + 5) = 16

Reorder the terms:
(5 + x)(x + 5) = 16

Reorder the terms:
(5 + x)(5 + x) = 16

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = 16
((5 * 5 + x * 5) + x(5 + x)) = 16
((25 + 5x) + x(5 + x)) = 16
(25 + 5x + (5 * x + x * x)) = 16
(25 + 5x + (5x + x2)) = 16

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = 16

Solving
25 + 10x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
25 + -16 + 10x + x2 = 16 + -16

Combine like terms: 25 + -16 = 9
9 + 10x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
9 + 10x + x2 = 0

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

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
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 = {-9, -1}