(x)(x+3)(x+15)=0

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Solution for (x)(x+3)(x+15)=0 equation: 


Simplifying
(x)(x + 3)(x + 15) = 0

Reorder the terms:
x(3 + x)(x + 15) = 0

Reorder the terms:
x(3 + x)(15 + x) = 0

Multiply (3 + x) * (15 + x)
x(3(15 + x) + x(15 + x)) = 0
x((15 * 3 + x * 3) + x(15 + x)) = 0
x((45 + 3x) + x(15 + x)) = 0
x(45 + 3x + (15 * x + x * x)) = 0
x(45 + 3x + (15x + x2)) = 0

Combine like terms: 3x + 15x = 18x
x(45 + 18x + x2) = 0
(45 * x + 18x * x + x2 * x) = 0
(45x + 18x2 + x3) = 0

Solving
45x + 18x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(45 + 18x + x2) = 0

Factor a trinomial.
x((15 + x)(3 + x)) = 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 '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15

Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -15, -3}

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