(x+8)(x+1)=30

Solution for (x+8)(x+1)=30 equation:

Simplifying
(x + 8)(x + 1) = 30

Reorder the terms:
(8 + x)(x + 1) = 30

Reorder the terms:
(8 + x)(1 + x) = 30

Multiply (8 + x) * (1 + x)
(8(1 + x) + x(1 + x)) = 30
((1 * 8 + x * 8) + x(1 + x)) = 30
((8 + 8x) + x(1 + x)) = 30
(8 + 8x + (1 * x + x * x)) = 30
(8 + 8x + (1x + x2)) = 30

Combine like terms: 8x + 1x = 9x
(8 + 9x + x2) = 30

Solving
8 + 9x + x2 = 30

Solving for variable 'x'.

Reorder the terms:
8 + -30 + 9x + x2 = 30 + -30

Combine like terms: 8 + -30 = -22
-22 + 9x + x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-22 + 9x + x2 = 0

Factor a trinomial.
(-11 + -1x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-11, 2}