-23x^2-22x+1=0

Solution for -23x^2-22x+1=0 equation:

Simplifying
-23x2 + -22x + 1 = 0

Reorder the terms:
1 + -22x + -23x2 = 0

Solving
1 + -22x + -23x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -23x)(1 + x) = 0

Subproblem 1
Set the factor '(1 + -23x)' equal to zero and attempt to solve:

Simplifying
1 + -23x = 0

Solving
1 + -23x = 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 + -23x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -23x = 0 + -1
-23x = 0 + -1

Combine like terms: 0 + -1 = -1
-23x = -1

Divide each side by '-23'.
x = 0.04347826087

Simplifying
x = 0.04347826087
Subproblem 2
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
Solution
x = {0.04347826087, -1}