w^2-2w+25=0

Solution for w^2-2w+25=0 equation:

Simplifying
w2 + -2w + 25 = 0

Reorder the terms:
25 + -2w + w2 = 0

Solving
25 + -2w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -2w + -25 + w2 = 0 + -25

Reorder the terms:
25 + -25 + -2w + w2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2w + w2 = 0 + -25
-2w + w2 = 0 + -25

Combine like terms: 0 + -25 = -25
-2w + w2 = -25

The w term is -2w.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2w + 1 + w2 = -25 + 1

Reorder the terms:
1 + -2w + w2 = -25 + 1

Combine like terms: -25 + 1 = -24
1 + -2w + w2 = -24

Factor a perfect square on the left side:
(w + -1)(w + -1) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.