260=(w+16)*w

Solution for 260=(w+16)*w equation:

Simplifying
260 = (w + 16) * w

Reorder the terms:
260 = (16 + w) * w

Reorder the terms for easier multiplication:
260 = w(16 + w)
260 = (16 * w + w * w)
260 = (16w + w2)

Solving
260 = 16w + w2

Solving for variable 'w'.

Reorder the terms:
260 + -16w + -1w2 = 16w + -16w + w2 + -1w2

Combine like terms: 16w + -16w = 0
260 + -16w + -1w2 = 0 + w2 + -1w2
260 + -16w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
260 + -16w + -1w2 = 0

Factor a trinomial.
(10 + -1w)(26 + w) = 0

Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve:

Simplifying
10 + -1w = 0

Solving
10 + -1w = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1w = 0 + -10
-1w = 0 + -10

Combine like terms: 0 + -10 = -10
-1w = -10

Divide each side by '-1'.
w = 10

Simplifying
w = 10
Subproblem 2
Set the factor '(26 + w)' equal to zero and attempt to solve:

Simplifying
26 + w = 0

Solving
26 + w = 0

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

Add '-26' to each side of the equation.
26 + -26 + w = 0 + -26

Combine like terms: 26 + -26 = 0
0 + w = 0 + -26
w = 0 + -26

Combine like terms: 0 + -26 = -26
w = -26

Simplifying
w = -26
Solution
w = {10, -26}