(x+8)(x+13)=234

Solution for (x+8)(x+13)=234 equation:

Simplifying
(x + 8)(x + 13) = 234

Reorder the terms:
(8 + x)(x + 13) = 234

Reorder the terms:
(8 + x)(13 + x) = 234

Multiply (8 + x) * (13 + x)
(8(13 + x) + x(13 + x)) = 234
((13 * 8 + x * 8) + x(13 + x)) = 234
((104 + 8x) + x(13 + x)) = 234
(104 + 8x + (13 * x + x * x)) = 234
(104 + 8x + (13x + x2)) = 234

Combine like terms: 8x + 13x = 21x
(104 + 21x + x2) = 234

Solving
104 + 21x + x2 = 234

Solving for variable 'x'.

Reorder the terms:
104 + -234 + 21x + x2 = 234 + -234

Combine like terms: 104 + -234 = -130
-130 + 21x + x2 = 234 + -234

Combine like terms: 234 + -234 = 0
-130 + 21x + x2 = 0

Factor a trinomial.
(-26 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-26, 5}