(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.
(-16 + -1x)(22 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-16, 22}