(x+5)(x+5)=121

Solution for (x+5)(x+5)=121 equation:

Simplifying
(x + 5)(x + 5) = 121

Reorder the terms:
(5 + x)(x + 5) = 121

Reorder the terms:
(5 + x)(5 + x) = 121

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = 121
((5 * 5 + x * 5) + x(5 + x)) = 121
((25 + 5x) + x(5 + x)) = 121
(25 + 5x + (5 * x + x * x)) = 121
(25 + 5x + (5x + x2)) = 121

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = 121

Solving
25 + 10x + x2 = 121

Solving for variable 'x'.

Reorder the terms:
25 + -121 + 10x + x2 = 121 + -121

Combine like terms: 25 + -121 = -96
-96 + 10x + x2 = 121 + -121

Combine like terms: 121 + -121 = 0
-96 + 10x + x2 = 0

Factor a trinomial.
(-16 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-16, 6}