25x^2-164x+256=0

Solution for 25x^2-164x+256=0 equation:

Simplifying
25x2 + -164x + 256 = 0

Reorder the terms:
256 + -164x + 25x2 = 0

Solving
256 + -164x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(64 + -25x)(4 + -1x) = 0

Subproblem 1
Set the factor '(64 + -25x)' equal to zero and attempt to solve:

Simplifying
64 + -25x = 0

Solving
64 + -25x = 0

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

Add '-64' to each side of the equation.
64 + -64 + -25x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -25x = 0 + -64
-25x = 0 + -64

Combine like terms: 0 + -64 = -64
-25x = -64

Divide each side by '-25'.
x = 2.56

Simplifying
x = 2.56
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {2.56, 4}