(x+13)(x-14)=0

Solution for (x+13)(x-14)=0 equation:

Simplifying
(x + 13)(x + -14) = 0

Reorder the terms:
(13 + x)(x + -14) = 0

Reorder the terms:
(13 + x)(-14 + x) = 0

Multiply (13 + x) * (-14 + x)
(13(-14 + x) + x(-14 + x)) = 0
((-14 * 13 + x * 13) + x(-14 + x)) = 0
((-182 + 13x) + x(-14 + x)) = 0
(-182 + 13x + (-14 * x + x * x)) = 0
(-182 + 13x + (-14x + x2)) = 0

Combine like terms: 13x + -14x = -1x
(-182 + -1x + x2) = 0

Solving
-182 + -1x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -1x)(14 + -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 '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-13, 14}