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

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

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

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

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

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

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

Solving
32 + 20x + 2x2 = 144

Solving for variable 'x'.

Reorder the terms:
32 + -144 + 20x + 2x2 = 144 + -144

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

Combine like terms: 144 + -144 = 0
-112 + 20x + 2x2 = 0

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

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

Ignore the factor 2.
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 '(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
Solution
x = {-14, 4}