4(x)(x+8)=336

Solution for 4(x)(x+8)=336 equation:

Simplifying
4(x)(x + 8) = 336

Reorder the terms:
4x(8 + x) = 336
(8 * 4x + x * 4x) = 336
(32x + 4x2) = 336

Solving
32x + 4x2 = 336

Solving for variable 'x'.

Reorder the terms:
-336 + 32x + 4x2 = 336 + -336

Combine like terms: 336 + -336 = 0
-336 + 32x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-84 + 8x + x2) = 0

Factor a trinomial.
4((-14 + -1x)(6 + -1x)) = 0

Ignore the factor 4.
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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-14, 6}