(x)(x-1)(x+18)=0

Solution for (x)(x-1)(x+18)=0 equation:

Simplifying
(x)(x + -1)(x + 18) = 0

Reorder the terms:
x(-1 + x)(x + 18) = 0

Reorder the terms:
x(-1 + x)(18 + x) = 0

Multiply (-1 + x) * (18 + x)
x(-1(18 + x) + x(18 + x)) = 0
x((18 * -1 + x * -1) + x(18 + x)) = 0
x((-18 + -1x) + x(18 + x)) = 0
x(-18 + -1x + (18 * x + x * x)) = 0
x(-18 + -1x + (18x + x2)) = 0

Combine like terms: -1x + 18x = 17x
x(-18 + 17x + x2) = 0
(-18 * x + 17x * x + x2 * x) = 0
(-18x + 17x2 + x3) = 0

Solving
-18x + 17x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + 17x + x2) = 0

Factor a trinomial.
x((-18 + -1x)(1 + -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 '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18
Subproblem 3
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
Solution
x = {0, -18, 1}