72=(x+3)(x+2)

Solution for 72=(x+3)(x+2) equation:

Simplifying
72 = (x + 3)(x + 2)

Reorder the terms:
72 = (3 + x)(x + 2)

Reorder the terms:
72 = (3 + x)(2 + x)

Multiply (3 + x) * (2 + x)
72 = (3(2 + x) + x(2 + x))
72 = ((2 * 3 + x * 3) + x(2 + x))
72 = ((6 + 3x) + x(2 + x))
72 = (6 + 3x + (2 * x + x * x))
72 = (6 + 3x + (2x + x2))

Combine like terms: 3x + 2x = 5x
72 = (6 + 5x + x2)

Solving
72 = 6 + 5x + x2

Solving for variable 'x'.

Combine like terms: 72 + -6 = 66
66 + -5x + -1x2 = 6 + 5x + x2 + -6 + -5x + -1x2

Reorder the terms:
66 + -5x + -1x2 = 6 + -6 + 5x + -5x + x2 + -1x2

Combine like terms: 6 + -6 = 0
66 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
66 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
66 + -5x + -1x2 = 0 + x2 + -1x2
66 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
66 + -5x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(11 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {6, -11}