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

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

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

Reorder the terms:
9(-11 + x)(x + 1) = 0

Reorder the terms:
9(-11 + x)(1 + x) = 0

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

Combine like terms: -11x + 1x = -10x
9(-11 + -10x + x2) = 0
(-11 * 9 + -10x * 9 + x2 * 9) = 0
(-99 + -90x + 9x2) = 0

Solving
-99 + -90x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-11 + -10x + x2) = 0

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

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
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 = {-1, 11}