(x+3)(32)(x)=10880

Solution for (x+3)(32)(x)=10880 equation:

Simplifying
(x + 3)(32)(x) = 10880

Reorder the terms:
(3 + x)(32)(x) = 10880

Reorder the terms for easier multiplication:
32x(3 + x) = 10880
(3 * 32x + x * 32x) = 10880
(96x + 32x2) = 10880

Solving
96x + 32x2 = 10880

Solving for variable 'x'.

Reorder the terms:
-10880 + 96x + 32x2 = 10880 + -10880

Combine like terms: 10880 + -10880 = 0
-10880 + 96x + 32x2 = 0

Factor out the Greatest Common Factor (GCF), '32'.
32(-340 + 3x + x2) = 0

Factor a trinomial.
32((-20 + -1x)(17 + -1x)) = 0

Ignore the factor 32.
Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve:

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 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 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20
Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-20, 17}