144=x(3x+6)

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

Simplifying
144 = x(3x + 6)

Reorder the terms:
144 = x(6 + 3x)
144 = (6 * x + 3x * x)
144 = (6x + 3x2)

Solving
144 = 6x + 3x2

Solving for variable 'x'.

Reorder the terms:
144 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
144 + -6x + -3x2 = 0 + 3x2 + -3x2
144 + -6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
144 + -6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(48 + -2x + -1x2) = 0

Factor a trinomial.
3((6 + -1x)(8 + x)) = 0

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

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {6, -8}