336=(x+4)(2x+4)

Solution for 336=(x+4)(2x+4) equation:

Simplifying
336 = (x + 4)(2x + 4)

Reorder the terms:
336 = (4 + x)(2x + 4)

Reorder the terms:
336 = (4 + x)(4 + 2x)

Multiply (4 + x) * (4 + 2x)
336 = (4(4 + 2x) + x(4 + 2x))
336 = ((4 * 4 + 2x * 4) + x(4 + 2x))
336 = ((16 + 8x) + x(4 + 2x))
336 = (16 + 8x + (4 * x + 2x * x))
336 = (16 + 8x + (4x + 2x2))

Combine like terms: 8x + 4x = 12x
336 = (16 + 12x + 2x2)

Solving
336 = 16 + 12x + 2x2

Solving for variable 'x'.

Combine like terms: 336 + -16 = 320
320 + -12x + -2x2 = 16 + 12x + 2x2 + -16 + -12x + -2x2

Reorder the terms:
320 + -12x + -2x2 = 16 + -16 + 12x + -12x + 2x2 + -2x2

Combine like terms: 16 + -16 = 0
320 + -12x + -2x2 = 0 + 12x + -12x + 2x2 + -2x2
320 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
320 + -12x + -2x2 = 0 + 2x2 + -2x2
320 + -12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
320 + -12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(160 + -6x + -1x2) = 0

Factor a trinomial.
2((10 + -1x)(16 + x)) = 0

Ignore the factor 2.
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 '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 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 + x = 0 + -16

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

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

Simplifying
x = -16
Solution
x = {10, -16}