120=(3x+2)x

Solution for 120=(3x+2)x equation:

Simplifying
120 = (3x + 2) * x

Reorder the terms:
120 = (2 + 3x) * x

Reorder the terms for easier multiplication:
120 = x(2 + 3x)
120 = (2 * x + 3x * x)
120 = (2x + 3x2)

Solving
120 = 2x + 3x2

Solving for variable 'x'.

Reorder the terms:
120 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2

Combine like terms: 2x + -2x = 0
120 + -2x + -3x2 = 0 + 3x2 + -3x2
120 + -2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
120 + -2x + -3x2 = 0

Factor a trinomial.
(6 + -1x)(20 + 3x) = 0

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 '(20 + 3x)' equal to zero and attempt to solve:

Simplifying
20 + 3x = 0

Solving
20 + 3x = 0

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

Add '-20' to each side of the equation.
20 + -20 + 3x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 0 + -20
3x = 0 + -20

Combine like terms: 0 + -20 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667
Solution
x = {6, -6.666666667}