x(x+6)*8=320

Solution for x(x+6)*8=320 equation:

Simplifying
x(x + 6) * 8 = 320

Reorder the terms:
x(6 + x) * 8 = 320

Reorder the terms for easier multiplication:
8x(6 + x) = 320
(6 * 8x + x * 8x) = 320
(48x + 8x2) = 320

Solving
48x + 8x2 = 320

Solving for variable 'x'.

Reorder the terms:
-320 + 48x + 8x2 = 320 + -320

Combine like terms: 320 + -320 = 0
-320 + 48x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-40 + 6x + x2) = 0

Factor a trinomial.
8((-10 + -1x)(4 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-10, 4}