(x)(x-8)=384

Solution for (x)(x-8)=384 equation:

Simplifying
(x)(x + -8) = 384

Reorder the terms:
x(-8 + x) = 384
(-8 * x + x * x) = 384
(-8x + x2) = 384

Solving
-8x + x2 = 384

Solving for variable 'x'.

Reorder the terms:
-384 + -8x + x2 = 384 + -384

Combine like terms: 384 + -384 = 0
-384 + -8x + x2 = 0

Factor a trinomial.
(-16 + -1x)(24 + -1x) = 0

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

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

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

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

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

Simplifying
x = -16
Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-16, 24}