x(x+17)-6(x+17)=

Solution for x(x+17)-6(x+17)= equation:

Simplifying
x(x + 17) + -6(x + 17) = 0

Reorder the terms:
x(17 + x) + -6(x + 17) = 0
(17 * x + x * x) + -6(x + 17) = 0
(17x + x2) + -6(x + 17) = 0

Reorder the terms:
17x + x2 + -6(17 + x) = 0
17x + x2 + (17 * -6 + x * -6) = 0
17x + x2 + (-102 + -6x) = 0

Reorder the terms:
-102 + 17x + -6x + x2 = 0

Combine like terms: 17x + -6x = 11x
-102 + 11x + x2 = 0

Solving
-102 + 11x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -1x)(6 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-17, 6}