x(x-5)(x+18)=0

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Solution for x(x-5)(x+18)=0 equation: 


Simplifying
x(x + -5)(x + 18) = 0

Reorder the terms:
x(-5 + x)(x + 18) = 0

Reorder the terms:
x(-5 + x)(18 + x) = 0

Multiply (-5 + x) * (18 + x)
x(-5(18 + x) + x(18 + x)) = 0
x((18 * -5 + x * -5) + x(18 + x)) = 0
x((-90 + -5x) + x(18 + x)) = 0
x(-90 + -5x + (18 * x + x * x)) = 0
x(-90 + -5x + (18x + x2)) = 0

Combine like terms: -5x + 18x = 13x
x(-90 + 13x + x2) = 0
(-90 * x + 13x * x + x2 * x) = 0
(-90x + 13x2 + x3) = 0

Solving
-90x + 13x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-90 + 13x + x2) = 0

Factor a trinomial.
x((-18 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, -18, 5}

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