(-9+-1x)(11+-1x)=0

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Solution for (-9+-1x)(11+-1x)=0 equation: 


Simplifying
(-9 + -1x)(11 + -1x) = 0

Multiply (-9 + -1x) * (11 + -1x)
(-9(11 + -1x) + -1x * (11 + -1x)) = 0
((11 * -9 + -1x * -9) + -1x * (11 + -1x)) = 0
((-99 + 9x) + -1x * (11 + -1x)) = 0
(-99 + 9x + (11 * -1x + -1x * -1x)) = 0
(-99 + 9x + (-11x + 1x2)) = 0

Combine like terms: 9x + -11x = -2x
(-99 + -2x + 1x2) = 0

Solving
-99 + -2x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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 = {-9, 11}

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