144=(2x+4)(x+3)

Solution for 144=(2x+4)(x+3) equation:

Simplifying
144 = (2x + 4)(x + 3)

Reorder the terms:
144 = (4 + 2x)(x + 3)

Reorder the terms:
144 = (4 + 2x)(3 + x)

Multiply (4 + 2x) * (3 + x)
144 = (4(3 + x) + 2x * (3 + x))
144 = ((3 * 4 + x * 4) + 2x * (3 + x))
144 = ((12 + 4x) + 2x * (3 + x))
144 = (12 + 4x + (3 * 2x + x * 2x))
144 = (12 + 4x + (6x + 2x2))

Combine like terms: 4x + 6x = 10x
144 = (12 + 10x + 2x2)

Solving
144 = 12 + 10x + 2x2

Solving for variable 'x'.

Combine like terms: 144 + -12 = 132
132 + -10x + -2x2 = 12 + 10x + 2x2 + -12 + -10x + -2x2

Reorder the terms:
132 + -10x + -2x2 = 12 + -12 + 10x + -10x + 2x2 + -2x2

Combine like terms: 12 + -12 = 0
132 + -10x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2
132 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
132 + -10x + -2x2 = 0 + 2x2 + -2x2
132 + -10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
132 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(66 + -5x + -1x2) = 0

Factor a trinomial.
2((6 + -1x)(11 + x)) = 0

Ignore the factor 2.
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}