8x*(x+2)*(x+1)=0

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Solution for 8x*(x+2)*(x+1)=0 equation: 


Simplifying
8x(x + 2)(x + 1) = 0

Reorder the terms:
8x(2 + x)(x + 1) = 0

Reorder the terms:
8x(2 + x)(1 + x) = 0

Multiply (2 + x) * (1 + x)
8x(2(1 + x) + x(1 + x)) = 0
8x((1 * 2 + x * 2) + x(1 + x)) = 0
8x((2 + 2x) + x(1 + x)) = 0
8x(2 + 2x + (1 * x + x * x)) = 0
8x(2 + 2x + (1x + x2)) = 0

Combine like terms: 2x + 1x = 3x
8x(2 + 3x + x2) = 0
(2 * 8x + 3x * 8x + x2 * 8x) = 0
(16x + 24x2 + 8x3) = 0

Solving
16x + 24x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(2 + 3x + x2) = 0

Factor a trinomial.
8x((2 + x)(1 + x)) = 0

Ignore the factor 8.

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 + 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

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0, -2, -1}

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