=(x+13)(x-11)

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

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

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

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

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

Combine like terms: 13x + -11x = 2x
0 = (-143 + 2x + x2)

Solving
0 = -143 + 2x + x2

Solving for variable 'x'.

Combine like terms: 0 + 143 = 143
143 + -2x + -1x2 = -143 + 2x + x2 + 143 + -2x + -1x2

Reorder the terms:
143 + -2x + -1x2 = -143 + 143 + 2x + -2x + x2 + -1x2

Combine like terms: -143 + 143 = 0
143 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
143 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
143 + -2x + -1x2 = 0 + x2 + -1x2
143 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
143 + -2x + -1x2 = 0

Factor a trinomial.
(11 + -1x)(13 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 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 + x = 0 + -13

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

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

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