25x^2-16x+5=0

Solution for 25x^2-16x+5=0 equation:

Simplifying
25x2 + -16x + 5 = 0

Reorder the terms:
5 + -16x + 25x2 = 0

Solving
5 + -16x + 25x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
25 the coefficient of the squared term: 

Divide each side by '25'.
0.2 + -0.64x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.64x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.64x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.64x + x2 = 0 + -0.2
-0.64x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.64x + x2 = -0.2

The x term is -0.64x.  Take half its coefficient (-0.32).
Square it (0.1024) and add it to both sides.

Add '0.1024' to each side of the equation.
-0.64x + 0.1024 + x2 = -0.2 + 0.1024

Reorder the terms:
0.1024 + -0.64x + x2 = -0.2 + 0.1024

Combine like terms: -0.2 + 0.1024 = -0.0976
0.1024 + -0.64x + x2 = -0.0976

Factor a perfect square on the left side:
(x + -0.32)(x + -0.32) = -0.0976

Can't calculate square root of the right side.

The solution to this equation could not be determined.