W^2-26W+25=0

Solution for W^2-26W+25=0 equation:

Simplifying
W2 + -26W + 25 = 0

Reorder the terms:
25 + -26W + W2 = 0

Solving
25 + -26W + W2 = 0

Solving for variable 'W'.

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

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

Simplifying
1 + -1W = 0

Solving
1 + -1W = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1W = 0 + -1

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

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

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

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

Simplifying
25 + -1W = 0

Solving
25 + -1W = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1W = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1W = 0 + -25
-1W = 0 + -25

Combine like terms: 0 + -25 = -25
-1W = -25

Divide each side by '-1'.
W = 25

Simplifying
W = 25
Solution
W = {1, 25}