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

Solution for 144=(x+4)(3x+6) equation:

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

Reorder the terms:
144 = (4 + x)(3x + 6)

Reorder the terms:
144 = (4 + x)(6 + 3x)

Multiply (4 + x) * (6 + 3x)
144 = (4(6 + 3x) + x(6 + 3x))
144 = ((6 * 4 + 3x * 4) + x(6 + 3x))
144 = ((24 + 12x) + x(6 + 3x))
144 = (24 + 12x + (6 * x + 3x * x))
144 = (24 + 12x + (6x + 3x2))

Combine like terms: 12x + 6x = 18x
144 = (24 + 18x + 3x2)

Solving
144 = 24 + 18x + 3x2

Solving for variable 'x'.

Combine like terms: 144 + -24 = 120
120 + -18x + -3x2 = 24 + 18x + 3x2 + -24 + -18x + -3x2

Reorder the terms:
120 + -18x + -3x2 = 24 + -24 + 18x + -18x + 3x2 + -3x2

Combine like terms: 24 + -24 = 0
120 + -18x + -3x2 = 0 + 18x + -18x + 3x2 + -3x2
120 + -18x + -3x2 = 18x + -18x + 3x2 + -3x2

Combine like terms: 18x + -18x = 0
120 + -18x + -3x2 = 0 + 3x2 + -3x2
120 + -18x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
120 + -18x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(40 + -6x + -1x2) = 0

Factor a trinomial.
3((4 + -1x)(10 + x)) = 0

Ignore the factor 3.
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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {4, -10}