x(8+x)=1280

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

Simplifying
x(8 + x) = 1280
(8 * x + x * x) = 1280
(8x + x2) = 1280

Solving
8x + x2 = 1280

Solving for variable 'x'.

Reorder the terms:
-1280 + 8x + x2 = 1280 + -1280

Combine like terms: 1280 + -1280 = 0
-1280 + 8x + x2 = 0

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

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

Simplifying
-40 + -1x = 0

Solving
-40 + -1x = 0

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

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

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

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

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

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

Simplifying
32 + -1x = 0

Solving
32 + -1x = 0

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

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

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

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

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

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