x(x+6)=352

Solution for x(x+6)=352 equation:

Simplifying
x(x + 6) = 352

Reorder the terms:
x(6 + x) = 352
(6 * x + x * x) = 352
(6x + x2) = 352

Solving
6x + x2 = 352

Solving for variable 'x'.

Reorder the terms:
-352 + 6x + x2 = 352 + -352

Combine like terms: 352 + -352 = 0
-352 + 6x + x2 = 0

Factor a trinomial.
(-22 + -1x)(16 + -1x) = 0

Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-22, 16}