w^2-64w+240=0

Solution for w^2-64w+240=0 equation:

Simplifying
w2 + -64w + 240 = 0

Reorder the terms:
240 + -64w + w2 = 0

Solving
240 + -64w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4 + -1w)(60 + -1w) = 0

Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Subproblem 2
Set the factor '(60 + -1w)' equal to zero and attempt to solve:

Simplifying
60 + -1w = 0

Solving
60 + -1w = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1w = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1w = 0 + -60
-1w = 0 + -60

Combine like terms: 0 + -60 = -60
-1w = -60

Divide each side by '-1'.
w = 60

Simplifying
w = 60
Solution
w = {4, 60}