(x+8)(x+3)=234

Solution for (x+8)(x+3)=234 equation:

Simplifying
(x + 8)(x + 3) = 234

Reorder the terms:
(8 + x)(x + 3) = 234

Reorder the terms:
(8 + x)(3 + x) = 234

Multiply (8 + x) * (3 + x)
(8(3 + x) + x(3 + x)) = 234
((3 * 8 + x * 8) + x(3 + x)) = 234
((24 + 8x) + x(3 + x)) = 234
(24 + 8x + (3 * x + x * x)) = 234
(24 + 8x + (3x + x2)) = 234

Combine like terms: 8x + 3x = 11x
(24 + 11x + x2) = 234

Solving
24 + 11x + x2 = 234

Solving for variable 'x'.

Reorder the terms:
24 + -234 + 11x + x2 = 234 + -234

Combine like terms: 24 + -234 = -210
-210 + 11x + x2 = 234 + -234

Combine like terms: 234 + -234 = 0
-210 + 11x + x2 = 0

Factor a trinomial.
(-21 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-21, 10}