160=(w+6)(w)

Solution for 160=(w+6)(w) equation:

Simplifying
160 = (w + 6)(w)

Reorder the terms:
160 = (6 + w)(w)

Reorder the terms for easier multiplication:
160 = w(6 + w)
160 = (6 * w + w * w)
160 = (6w + w2)

Solving
160 = 6w + w2

Solving for variable 'w'.

Reorder the terms:
160 + -6w + -1w2 = 6w + -6w + w2 + -1w2

Combine like terms: 6w + -6w = 0
160 + -6w + -1w2 = 0 + w2 + -1w2
160 + -6w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
160 + -6w + -1w2 = 0

Factor a trinomial.
(10 + -1w)(16 + 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 '(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 = {10, -16}