10x(11x+1)+11x+1=

Solution for 10x(11x+1)+11x+1= equation:

Simplifying
10x(11x + 1) + 11x + 1 = 0

Reorder the terms:
10x(1 + 11x) + 11x + 1 = 0
(1 * 10x + 11x * 10x) + 11x + 1 = 0
(10x + 110x2) + 11x + 1 = 0

Reorder the terms:
1 + 10x + 11x + 110x2 = 0

Combine like terms: 10x + 11x = 21x
1 + 21x + 110x2 = 0

Solving
1 + 21x + 110x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 10x)(1 + 11x) = 0

Subproblem 1
Set the factor '(1 + 10x)' equal to zero and attempt to solve:

Simplifying
1 + 10x = 0

Solving
1 + 10x = 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 + 10x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10x = 0 + -1
10x = 0 + -1

Combine like terms: 0 + -1 = -1
10x = -1

Divide each side by '10'.
x = -0.1

Simplifying
x = -0.1
Subproblem 2
Set the factor '(1 + 11x)' equal to zero and attempt to solve:

Simplifying
1 + 11x = 0

Solving
1 + 11x = 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 + 11x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 11x = 0 + -1
11x = 0 + -1

Combine like terms: 0 + -1 = -1
11x = -1

Divide each side by '11'.
x = -0.09090909091

Simplifying
x = -0.09090909091
Solution
x = {-0.1, -0.09090909091}