w(w+8)=1280

Solution for w(w+8)=1280 equation:

Simplifying
w(w + 8) = 1280

Reorder the terms:
w(8 + w) = 1280
(8 * w + w * w) = 1280
(8w + w2) = 1280

Solving
8w + w2 = 1280

Solving for variable 'w'.

Reorder the terms:
-1280 + 8w + w2 = 1280 + -1280

Combine like terms: 1280 + -1280 = 0
-1280 + 8w + w2 = 0

Factor a trinomial.
(-40 + -1w)(32 + -1w) = 0

Subproblem 1
Set the factor '(-40 + -1w)' equal to zero and attempt to solve:

Simplifying
-40 + -1w = 0

Solving
-40 + -1w = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1w = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1w = 0 + 40
-1w = 0 + 40

Combine like terms: 0 + 40 = 40
-1w = 40

Divide each side by '-1'.
w = -40

Simplifying
w = -40
Subproblem 2
Set the factor '(32 + -1w)' equal to zero and attempt to solve:

Simplifying
32 + -1w = 0

Solving
32 + -1w = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1w = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1w = 0 + -32
-1w = 0 + -32

Combine like terms: 0 + -32 = -32
-1w = -32

Divide each side by '-1'.
w = 32

Simplifying
w = 32
Solution
w = {-40, 32}