(x+1)(x+8)=

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

Simplifying
(x + 1)(x + 8) = 0

Reorder the terms:
(1 + x)(x + 8) = 0

Reorder the terms:
(1 + x)(8 + x) = 0

Multiply (1 + x) * (8 + x)
(1(8 + x) + x(8 + x)) = 0
((8 * 1 + x * 1) + x(8 + x)) = 0
((8 + 1x) + x(8 + x)) = 0
(8 + 1x + (8 * x + x * x)) = 0
(8 + 1x + (8x + x2)) = 0

Combine like terms: 1x + 8x = 9x
(8 + 9x + x2) = 0

Solving
8 + 9x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + x)(1 + x) = 0

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-8, -1}