125x^2-30x+1=0

Solution for 125x^2-30x+1=0 equation:

Simplifying
125x2 + -30x + 1 = 0

Reorder the terms:
1 + -30x + 125x2 = 0

Solving
1 + -30x + 125x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -25x)(1 + -5x) = 0

Subproblem 1
Set the factor '(1 + -25x)' equal to zero and attempt to solve:

Simplifying
1 + -25x = 0

Solving
1 + -25x = 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 + -25x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -25x = 0 + -1
-25x = 0 + -1

Combine like terms: 0 + -1 = -1
-25x = -1

Divide each side by '-25'.
x = 0.04

Simplifying
x = 0.04
Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0.04, 0.2}