10000x^2+250x+1=0

Solution for 10000x^2+250x+1=0 equation:

Simplifying
10000x2 + 250x + 1 = 0

Reorder the terms:
1 + 250x + 10000x2 = 0

Solving
1 + 250x + 10000x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 50x)(1 + 200x) = 0

Subproblem 1
Set the factor '(1 + 50x)' equal to zero and attempt to solve:

Simplifying
1 + 50x = 0

Solving
1 + 50x = 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 + 50x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 50x = 0 + -1
50x = 0 + -1

Combine like terms: 0 + -1 = -1
50x = -1

Divide each side by '50'.
x = -0.02

Simplifying
x = -0.02
Subproblem 2
Set the factor '(1 + 200x)' equal to zero and attempt to solve:

Simplifying
1 + 200x = 0

Solving
1 + 200x = 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 + 200x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 200x = 0 + -1
200x = 0 + -1

Combine like terms: 0 + -1 = -1
200x = -1

Divide each side by '200'.
x = -0.005

Simplifying
x = -0.005
Solution
x = {-0.02, -0.005}