8960=(x+6)(x)(32)

Solution for 8960=(x+6)(x)(32) equation:

Simplifying
8960 = (x + 6)(x)(32)

Reorder the terms:
8960 = (6 + x)(x)(32)

Reorder the terms for easier multiplication:
8960 = 32x(6 + x)
8960 = (6 * 32x + x * 32x)
8960 = (192x + 32x2)

Solving
8960 = 192x + 32x2

Solving for variable 'x'.

Reorder the terms:
8960 + -192x + -32x2 = 192x + -192x + 32x2 + -32x2

Combine like terms: 192x + -192x = 0
8960 + -192x + -32x2 = 0 + 32x2 + -32x2
8960 + -192x + -32x2 = 32x2 + -32x2

Combine like terms: 32x2 + -32x2 = 0
8960 + -192x + -32x2 = 0

Factor out the Greatest Common Factor (GCF), '32'.
32(280 + -6x + -1x2) = 0

Factor a trinomial.
32((14 + -1x)(20 + x)) = 0

Ignore the factor 32.
Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Solution
x = {14, -20}