144=(x+2)(2x+16)

Solution for 144=(x+2)(2x+16) equation:

Simplifying
144 = (x + 2)(2x + 16)

Reorder the terms:
144 = (2 + x)(2x + 16)

Reorder the terms:
144 = (2 + x)(16 + 2x)

Multiply (2 + x) * (16 + 2x)
144 = (2(16 + 2x) + x(16 + 2x))
144 = ((16 * 2 + 2x * 2) + x(16 + 2x))
144 = ((32 + 4x) + x(16 + 2x))
144 = (32 + 4x + (16 * x + 2x * x))
144 = (32 + 4x + (16x + 2x2))

Combine like terms: 4x + 16x = 20x
144 = (32 + 20x + 2x2)

Solving
144 = 32 + 20x + 2x2

Solving for variable 'x'.

Combine like terms: 144 + -32 = 112
112 + -20x + -2x2 = 32 + 20x + 2x2 + -32 + -20x + -2x2

Reorder the terms:
112 + -20x + -2x2 = 32 + -32 + 20x + -20x + 2x2 + -2x2

Combine like terms: 32 + -32 = 0
112 + -20x + -2x2 = 0 + 20x + -20x + 2x2 + -2x2
112 + -20x + -2x2 = 20x + -20x + 2x2 + -2x2

Combine like terms: 20x + -20x = 0
112 + -20x + -2x2 = 0 + 2x2 + -2x2
112 + -20x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
112 + -20x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -10x + -1x2) = 0

Factor a trinomial.
2((4 + -1x)(14 + x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 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 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {4, -14}