(x-13)(x-11)=0

Solution for (x-13)(x-11)=0 equation:

Simplifying
(x + -13)(x + -11) = 0

Reorder the terms:
(-13 + x)(x + -11) = 0

Reorder the terms:
(-13 + x)(-11 + x) = 0

Multiply (-13 + x) * (-11 + x)
(-13(-11 + x) + x(-11 + x)) = 0
((-11 * -13 + x * -13) + x(-11 + x)) = 0
((143 + -13x) + x(-11 + x)) = 0
(143 + -13x + (-11 * x + x * x)) = 0
(143 + -13x + (-11x + x2)) = 0

Combine like terms: -13x + -11x = -24x
(143 + -24x + x2) = 0

Solving
143 + -24x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -1x)(13 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {11, 13}