8x(9x+1)+1(9x+1)=

Solution for 8x(9x+1)+1(9x+1)= equation:

Simplifying
8x(9x + 1) + 1(9x + 1) = 0

Reorder the terms:
8x(1 + 9x) + 1(9x + 1) = 0
(1 * 8x + 9x * 8x) + 1(9x + 1) = 0
(8x + 72x2) + 1(9x + 1) = 0

Reorder the terms:
8x + 72x2 + 1(1 + 9x) = 0
8x + 72x2 + (1 * 1 + 9x * 1) = 0
8x + 72x2 + (1 + 9x) = 0

Reorder the terms:
1 + 8x + 9x + 72x2 = 0

Combine like terms: 8x + 9x = 17x
1 + 17x + 72x2 = 0

Solving
1 + 17x + 72x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 8x)(1 + 9x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 9x)' equal to zero and attempt to solve:

Simplifying
1 + 9x = 0

Solving
1 + 9x = 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 + 9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 0 + -1
9x = 0 + -1

Combine like terms: 0 + -1 = -1
9x = -1

Divide each side by '9'.
x = -0.1111111111

Simplifying
x = -0.1111111111
Solution
x = {-0.125, -0.1111111111}