x(x+8)=209

Solution for x(x+8)=209 equation:

Simplifying
x(x + 8) = 209

Reorder the terms:
x(8 + x) = 209
(8 * x + x * x) = 209
(8x + x2) = 209

Solving
8x + x2 = 209

Solving for variable 'x'.

Reorder the terms:
-209 + 8x + x2 = 209 + -209

Combine like terms: 209 + -209 = 0
-209 + 8x + x2 = 0

Factor a trinomial.
(-19 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 0 + 19
-1x = 0 + 19

Combine like terms: 0 + 19 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-19, 11}