(x+2)(x)(x+7)=

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Solution for (x+2)(x)(x+7)= equation: 


Simplifying
(x + 2)(x)(x + 7) = 0

Reorder the terms:
(2 + x)(x)(x + 7) = 0

Reorder the terms:
(2 + x) * x(7 + x) = 0

Reorder the terms for easier multiplication:
x(2 + x)(7 + x) = 0

Multiply (2 + x) * (7 + x)
x(2(7 + x) + x(7 + x)) = 0
x((7 * 2 + x * 2) + x(7 + x)) = 0
x((14 + 2x) + x(7 + x)) = 0
x(14 + 2x + (7 * x + x * x)) = 0
x(14 + 2x + (7x + x2)) = 0

Combine like terms: 2x + 7x = 9x
x(14 + 9x + x2) = 0
(14 * x + 9x * x + x2 * x) = 0
(14x + 9x2 + x3) = 0

Solving
14x + 9x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + 9x + x2) = 0

Factor a trinomial.
x((7 + x)(2 + 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {0, -7, -2}

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