138=(2x+11)x

Solution for 138=(2x+11)x equation:

Simplifying
138 = (2x + 11) * x

Reorder the terms:
138 = (11 + 2x) * x

Reorder the terms for easier multiplication:
138 = x(11 + 2x)
138 = (11 * x + 2x * x)
138 = (11x + 2x2)

Solving
138 = 11x + 2x2

Solving for variable 'x'.

Reorder the terms:
138 + -11x + -2x2 = 11x + -11x + 2x2 + -2x2

Combine like terms: 11x + -11x = 0
138 + -11x + -2x2 = 0 + 2x2 + -2x2
138 + -11x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
138 + -11x + -2x2 = 0

Factor a trinomial.
(6 + -1x)(23 + 2x) = 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 '(23 + 2x)' equal to zero and attempt to solve:

Simplifying
23 + 2x = 0

Solving
23 + 2x = 0

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

Add '-23' to each side of the equation.
23 + -23 + 2x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 2x = 0 + -23
2x = 0 + -23

Combine like terms: 0 + -23 = -23
2x = -23

Divide each side by '2'.
x = -11.5

Simplifying
x = -11.5
Solution
x = {6, -11.5}