x(x+6)+15x=46

Solution for x(x+6)+15x=46 equation:

Simplifying
x(x + 6) + 15x = 46

Reorder the terms:
x(6 + x) + 15x = 46
(6 * x + x * x) + 15x = 46
(6x + x2) + 15x = 46

Reorder the terms:
6x + 15x + x2 = 46

Combine like terms: 6x + 15x = 21x
21x + x2 = 46

Solving
21x + x2 = 46

Solving for variable 'x'.

Reorder the terms:
-46 + 21x + x2 = 46 + -46

Combine like terms: 46 + -46 = 0
-46 + 21x + x2 = 0

Factor a trinomial.
(-23 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve:

Simplifying
-23 + -1x = 0

Solving
-23 + -1x = 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 + -1x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = 0 + 23
-1x = 0 + 23

Combine like terms: 0 + 23 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-23, 2}