x(x+6)=391

Solution for x(x+6)=391 equation:

Simplifying
x(x + 6) = 391

Reorder the terms:
x(6 + x) = 391
(6 * x + x * x) = 391
(6x + x2) = 391

Solving
6x + x2 = 391

Solving for variable 'x'.

Reorder the terms:
-391 + 6x + x2 = 391 + -391

Combine like terms: 391 + -391 = 0
-391 + 6x + x2 = 0

Factor a trinomial.
(-23 + -1x)(17 + -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 '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-23, 17}