(x+8)(x+1)=44

Solution for (x+8)(x+1)=44 equation:

Simplifying
(x + 8)(x + 1) = 44

Reorder the terms:
(8 + x)(x + 1) = 44

Reorder the terms:
(8 + x)(1 + x) = 44

Multiply (8 + x) * (1 + x)
(8(1 + x) + x(1 + x)) = 44
((1 * 8 + x * 8) + x(1 + x)) = 44
((8 + 8x) + x(1 + x)) = 44
(8 + 8x + (1 * x + x * x)) = 44
(8 + 8x + (1x + x2)) = 44

Combine like terms: 8x + 1x = 9x
(8 + 9x + x2) = 44

Solving
8 + 9x + x2 = 44

Solving for variable 'x'.

Reorder the terms:
8 + -44 + 9x + x2 = 44 + -44

Combine like terms: 8 + -44 = -36
-36 + 9x + x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-36 + 9x + x2 = 0

Factor a trinomial.
(-12 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-12, 3}