x(x+11)-17(x+11)=

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Solution for x(x+11)-17(x+11)= equation: 


Simplifying
x(x + 11) + -17(x + 11) = 0

Reorder the terms:
x(11 + x) + -17(x + 11) = 0
(11 * x + x * x) + -17(x + 11) = 0
(11x + x2) + -17(x + 11) = 0

Reorder the terms:
11x + x2 + -17(11 + x) = 0
11x + x2 + (11 * -17 + x * -17) = 0
11x + x2 + (-187 + -17x) = 0

Reorder the terms:
-187 + 11x + -17x + x2 = 0

Combine like terms: 11x + -17x = -6x
-187 + -6x + x2 = 0

Solving
-187 + -6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -1x)(17 + -1x) = 0


Subproblem 1
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

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 = {-11, 17}

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