(x-9)(x-11)=0

Solution for (x-9)(x-11)=0 equation:

Simplifying
(x + -9)(x + -11) = 0

Reorder the terms:
(-9 + x)(x + -11) = 0

Reorder the terms:
(-9 + x)(-11 + x) = 0

Multiply (-9 + x) * (-11 + x)
(-9(-11 + x) + x(-11 + x)) = 0
((-11 * -9 + x * -9) + x(-11 + x)) = 0
((99 + -9x) + x(-11 + x)) = 0
(99 + -9x + (-11 * x + x * x)) = 0
(99 + -9x + (-11x + x2)) = 0

Combine like terms: -9x + -11x = -20x
(99 + -20x + x2) = 0

Solving
99 + -20x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -1x)(11 + -1x) = 0

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

Simplifying
9 + -1x = 0

Solving
9 + -1x = 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 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {9, 11}