25z^2-14z+25=0

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

Simplifying
25z2 + -14z + 25 = 0

Reorder the terms:
25 + -14z + 25z2 = 0

Solving
25 + -14z + 25z2 = 0

Solving for variable 'z'.

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

Divide each side by '25'.
1 + -0.56z + z2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.56z + -1 + z2 = 0 + -1

Reorder the terms:
1 + -1 + -0.56z + z2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.56z + z2 = 0 + -1
-0.56z + z2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.56z + z2 = -1

The z term is -0.56z.  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.
-0.56z + 0.0784 + z2 = -1 + 0.0784

Reorder the terms:
0.0784 + -0.56z + z2 = -1 + 0.0784

Combine like terms: -1 + 0.0784 = -0.9216
0.0784 + -0.56z + z2 = -0.9216

Factor a perfect square on the left side:
(z + -0.28)(z + -0.28) = -0.9216

Can't calculate square root of the right side.

The solution to this equation could not be determined.