x(x+2)(x-15)=0

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Solution for x(x+2)(x-15)=0 equation: 


Simplifying
x(x + 2)(x + -15) = 0

Reorder the terms:
x(2 + x)(x + -15) = 0

Reorder the terms:
x(2 + x)(-15 + x) = 0

Multiply (2 + x) * (-15 + x)
x(2(-15 + x) + x(-15 + x)) = 0
x((-15 * 2 + x * 2) + x(-15 + x)) = 0
x((-30 + 2x) + x(-15 + x)) = 0
x(-30 + 2x + (-15 * x + x * x)) = 0
x(-30 + 2x + (-15x + x2)) = 0

Combine like terms: 2x + -15x = -13x
x(-30 + -13x + x2) = 0
(-30 * x + -13x * x + x2 * x) = 0
(-30x + -13x2 + x3) = 0

Solving
-30x + -13x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + -13x + x2) = 0

Factor a trinomial.
x((-2 + -1x)(15 + -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 '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {0, -2, 15}

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