16x^2-41x+25=0

Solution for 16x^2-41x+25=0 equation:

Simplifying
16x2 + -41x + 25 = 0

Reorder the terms:
25 + -41x + 16x2 = 0

Solving
25 + -41x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(25 + -16x) = 0

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(25 + -16x)' equal to zero and attempt to solve:

Simplifying
25 + -16x = 0

Solving
25 + -16x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -16x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -16x = 0 + -25
-16x = 0 + -25

Combine like terms: 0 + -25 = -25
-16x = -25

Divide each side by '-16'.
x = 1.5625

Simplifying
x = 1.5625
Solution
x = {1, 1.5625}