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

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


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

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

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

Reorder the terms for easier multiplication:
x(-9 + x)(11 + x) = 0

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

Combine like terms: -9x + 11x = 2x
x(-99 + 2x + x2) = 0
(-99 * x + 2x * x + x2 * x) = 0
(-99x + 2x2 + x3) = 0

Solving
-99x + 2x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-99 + 2x + x2) = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Subproblem 3
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
Solution
x = {0, -11, 9}

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