(11*x)x+(x*9)=123+x

Solution for (11*x)x+(x*9)=123+x equation:

Simplifying
(11x) * x + (x * 9) = 123 + x

Remove parenthesis around (11x)
11x * x + (x * 9) = 123 + x

Multiply x * x
11x2 + (x * 9) = 123 + x

Reorder the terms for easier multiplication:
11x2 + (9x) = 123 + x

Reorder the terms:
(9x) + 11x2 = 123 + x

Solving
(9x) + 11x2 = 123 + x

Solving for variable 'x'.

Reorder the terms:
-123 + (9x) + -1x + 11x2 = 123 + x + -123 + -1x

Combine like terms: (9x) + -1x = 8x
-123 + 8x + 11x2 = 123 + x + -123 + -1x

Reorder the terms:
-123 + 8x + 11x2 = 123 + -123 + x + -1x

Combine like terms: 123 + -123 = 0
-123 + 8x + 11x2 = 0 + x + -1x
-123 + 8x + 11x2 = x + -1x

Combine like terms: x + -1x = 0
-123 + 8x + 11x2 = 0

Factor a trinomial.
(-41 + -11x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-41 + -11x)' equal to zero and attempt to solve:

Simplifying
-41 + -11x = 0

Solving
-41 + -11x = 0

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

Add '41' to each side of the equation.
-41 + 41 + -11x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -11x = 0 + 41
-11x = 0 + 41

Combine like terms: 0 + 41 = 41
-11x = 41

Divide each side by '-11'.
x = -3.727272727

Simplifying
x = -3.727272727
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3.727272727, 3}