625x^2-125x+4=0

Solution for 625x^2-125x+4=0 equation:

Simplifying
625x2 + -125x + 4 = 0

Reorder the terms:
4 + -125x + 625x2 = 0

Solving
4 + -125x + 625x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -25x)(4 + -25x) = 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 '(4 + -25x)' equal to zero and attempt to solve:

Simplifying
4 + -25x = 0

Solving
4 + -25x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -25x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -25x = 0 + -4
-25x = 0 + -4

Combine like terms: 0 + -4 = -4
-25x = -4

Divide each side by '-25'.
x = 0.16

Simplifying
x = 0.16
Solution
x = {0.04, 0.16}