(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 = 2x
(-143 + 2x + x2) = 0

Solving
-143 + 2x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
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 = {-13, 11}