21x^2+22x+1=0

Solution for 21x^2+22x+1=0 equation:

Simplifying
21x2 + 22x + 1 = 0

Reorder the terms:
1 + 22x + 21x2 = 0

Solving
1 + 22x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(1 + 21x) = 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 + 21x)' equal to zero and attempt to solve:

Simplifying
1 + 21x = 0

Solving
1 + 21x = 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 + 21x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 21x = 0 + -1
21x = 0 + -1

Combine like terms: 0 + -1 = -1
21x = -1

Divide each side by '21'.
x = -0.04761904762

Simplifying
x = -0.04761904762
Solution
x = {-1, -0.04761904762}