25x^2-14x+5=0

Solution for 25x^2-14x+5=0 equation:

Simplifying
25x2 + -14x + 5 = 0

Reorder the terms:
5 + -14x + 25x2 = 0

Solving
5 + -14x + 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 + -0.56x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.56x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.56x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.56x + x2 = 0 + -0.2
-0.56x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.56x + x2 = -0.2

The x term is -0.56x.  Take half its coefficient (-0.28).
Square it (0.0784) and add it to both sides.

Add '0.0784' to each side of the equation.
-0.56x + 0.0784 + x2 = -0.2 + 0.0784

Reorder the terms:
0.0784 + -0.56x + x2 = -0.2 + 0.0784

Combine like terms: -0.2 + 0.0784 = -0.1216
0.0784 + -0.56x + x2 = -0.1216

Factor a perfect square on the left side:
(x + -0.28)(x + -0.28) = -0.1216

Can't calculate square root of the right side.

The solution to this equation could not be determined.