(3x+6)(x+8)=0

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Solution for (3x+6)(x+8)=0 equation: 


Simplifying
(3x + 6)(x + 8) = 0

Reorder the terms:
(6 + 3x)(x + 8) = 0

Reorder the terms:
(6 + 3x)(8 + x) = 0

Multiply (6 + 3x) * (8 + x)
(6(8 + x) + 3x * (8 + x)) = 0
((8 * 6 + x * 6) + 3x * (8 + x)) = 0
((48 + 6x) + 3x * (8 + x)) = 0
(48 + 6x + (8 * 3x + x * 3x)) = 0
(48 + 6x + (24x + 3x2)) = 0

Combine like terms: 6x + 24x = 30x
(48 + 30x + 3x2) = 0

Solving
48 + 30x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + 10x + x2) = 0

Factor a trinomial.
3((8 + x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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
Solution
x = {-8, -2}

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