72=(3x+6)(x+4)

Solution for 72=(3x+6)(x+4) equation:

Simplifying
72 = (3x + 6)(x + 4)

Reorder the terms:
72 = (6 + 3x)(x + 4)

Reorder the terms:
72 = (6 + 3x)(4 + x)

Multiply (6 + 3x) * (4 + x)
72 = (6(4 + x) + 3x * (4 + x))
72 = ((4 * 6 + x * 6) + 3x * (4 + x))
72 = ((24 + 6x) + 3x * (4 + x))
72 = (24 + 6x + (4 * 3x + x * 3x))
72 = (24 + 6x + (12x + 3x2))

Combine like terms: 6x + 12x = 18x
72 = (24 + 18x + 3x2)

Solving
72 = 24 + 18x + 3x2

Solving for variable 'x'.

Combine like terms: 72 + -24 = 48
48 + -18x + -3x2 = 24 + 18x + 3x2 + -24 + -18x + -3x2

Reorder the terms:
48 + -18x + -3x2 = 24 + -24 + 18x + -18x + 3x2 + -3x2

Combine like terms: 24 + -24 = 0
48 + -18x + -3x2 = 0 + 18x + -18x + 3x2 + -3x2
48 + -18x + -3x2 = 18x + -18x + 3x2 + -3x2

Combine like terms: 18x + -18x = 0
48 + -18x + -3x2 = 0 + 3x2 + -3x2
48 + -18x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
48 + -18x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + -6x + -1x2) = 0

Factor a trinomial.
3((2 + -1x)(8 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

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

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

Simplifying
x = -8
Solution
x = {2, -8}