w^2-26w+120=0

Solution for w^2-26w+120=0 equation:

Simplifying
w2 + -26w + 120 = 0

Reorder the terms:
120 + -26w + w2 = 0

Solving
120 + -26w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(6 + -1w)(20 + -1w) = 0

Subproblem 1
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Subproblem 2
Set the factor '(20 + -1w)' equal to zero and attempt to solve:

Simplifying
20 + -1w = 0

Solving
20 + -1w = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1w = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1w = 0 + -20
-1w = 0 + -20

Combine like terms: 0 + -20 = -20
-1w = -20

Divide each side by '-1'.
w = 20

Simplifying
w = 20
Solution
w = {6, 20}