96=(w+10)w

Solution for 96=(w+10)w equation:

Simplifying
96 = (w + 10) * w

Reorder the terms:
96 = (10 + w) * w

Reorder the terms for easier multiplication:
96 = w(10 + w)
96 = (10 * w + w * w)
96 = (10w + w2)

Solving
96 = 10w + w2

Solving for variable 'w'.

Reorder the terms:
96 + -10w + -1w2 = 10w + -10w + w2 + -1w2

Combine like terms: 10w + -10w = 0
96 + -10w + -1w2 = 0 + w2 + -1w2
96 + -10w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
96 + -10w + -1w2 = 0

Factor a trinomial.
(6 + -1w)(16 + w) = 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 '(16 + w)' equal to zero and attempt to solve:

Simplifying
16 + w = 0

Solving
16 + w = 0

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

Add '-16' to each side of the equation.
16 + -16 + w = 0 + -16

Combine like terms: 16 + -16 = 0
0 + w = 0 + -16
w = 0 + -16

Combine like terms: 0 + -16 = -16
w = -16

Simplifying
w = -16
Solution
w = {6, -16}