25x^2-10x+4x=0

Solution for 25x^2-10x+4x=0 equation:

Simplifying
25x2 + -10x + 4x = 0

Reorder the terms:
-10x + 4x + 25x2 = 0

Combine like terms: -10x + 4x = -6x
-6x + 25x2 = 0

Solving
-6x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 25x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-6 + 25x)' equal to zero and attempt to solve:

Simplifying
-6 + 25x = 0

Solving
-6 + 25x = 0

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

Add '6' to each side of the equation.
-6 + 6 + 25x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 25x = 0 + 6
25x = 0 + 6

Combine like terms: 0 + 6 = 6
25x = 6

Divide each side by '25'.
x = 0.24

Simplifying
x = 0.24
Solution
x = {0, 0.24}