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

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

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

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

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

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

Combine like terms: -9x + 1x = -8x
x(-9 + -8x + x2) = 0
(-9 * x + -8x * x + x2 * x) = 0
(-9x + -8x2 + x3) = 0

Solving
-9x + -8x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + -8x + x2) = 0

Factor a trinomial.
x((-1 + -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 '(-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 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, -1, 9}