199x^2-200x+1=0

Solution for 199x^2-200x+1=0 equation:

Simplifying
199x2 + -200x + 1 = 0

Reorder the terms:
1 + -200x + 199x2 = 0

Solving
1 + -200x + 199x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -199x)(1 + -1x) = 0

Subproblem 1
Set the factor '(1 + -199x)' equal to zero and attempt to solve:

Simplifying
1 + -199x = 0

Solving
1 + -199x = 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 + -199x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -199x = 0 + -1
-199x = 0 + -1

Combine like terms: 0 + -1 = -1
-199x = -1

Divide each side by '-199'.
x = 0.005025125628

Simplifying
x = 0.005025125628
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.005025125628, 1}