w(6+w)=160

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

Simplifying
w(6 + w) = 160
(6 * w + w * w) = 160
(6w + w2) = 160

Solving
6w + w2 = 160

Solving for variable 'w'.

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

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

Factor a trinomial.
(-16 + -1w)(10 + -1w) = 0

Subproblem 1
Set the factor '(-16 + -1w)' equal to zero and attempt to solve:

Simplifying
-16 + -1w = 0

Solving
-16 + -1w = 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 + -1w = 0 + 16

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

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

Divide each side by '-1'.
w = -16

Simplifying
w = -16
Subproblem 2
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
Solution
w = {-16, 10}