100x^2+120x+11=0

Solution for 100x^2+120x+11=0 equation:

Simplifying
100x2 + 120x + 11 = 0

Reorder the terms:
11 + 120x + 100x2 = 0

Solving
11 + 120x + 100x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(11 + 10x)' equal to zero and attempt to solve:

Simplifying
11 + 10x = 0

Solving
11 + 10x = 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 + 10x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = 0 + -11
10x = 0 + -11

Combine like terms: 0 + -11 = -11
10x = -11

Divide each side by '10'.
x = -1.1

Simplifying
x = -1.1
Subproblem 2
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
Solution
x = {-1.1, -0.1}