(x-9)(x-9)=121

Solution for (x-9)(x-9)=121 equation:

Simplifying
(x + -9)(x + -9) = 121

Reorder the terms:
(-9 + x)(x + -9) = 121

Reorder the terms:
(-9 + x)(-9 + x) = 121

Multiply (-9 + x) * (-9 + x)
(-9(-9 + x) + x(-9 + x)) = 121
((-9 * -9 + x * -9) + x(-9 + x)) = 121
((81 + -9x) + x(-9 + x)) = 121
(81 + -9x + (-9 * x + x * x)) = 121
(81 + -9x + (-9x + x2)) = 121

Combine like terms: -9x + -9x = -18x
(81 + -18x + x2) = 121

Solving
81 + -18x + x2 = 121

Solving for variable 'x'.

Reorder the terms:
81 + -121 + -18x + x2 = 121 + -121

Combine like terms: 81 + -121 = -40
-40 + -18x + x2 = 121 + -121

Combine like terms: 121 + -121 = 0
-40 + -18x + x2 = 0

Factor a trinomial.
(-2 + -1x)(20 + -1x) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-2, 20}