11x^2+21x+10=0

Solution for 11x^2+21x+10=0 equation:

Simplifying
11x2 + 21x + 10 = 0

Reorder the terms:
10 + 21x + 11x2 = 0

Solving
10 + 21x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(10 + 11x) = 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 '(10 + 11x)' equal to zero and attempt to solve:

Simplifying
10 + 11x = 0

Solving
10 + 11x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 11x = 0 + -10

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

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

Divide each side by '11'.
x = -0.9090909091

Simplifying
x = -0.9090909091
Solution
x = {-1, -0.9090909091}