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

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

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

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

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

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

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

Solving
1 + 9x + 8x2 = 0

Solving for variable 'x'.

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

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

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {-1, -0.125}