(3x+8)(x+2)=0

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Solution for (3x+8)(x+2)=0 equation: 


Simplifying
(3x + 8)(x + 2) = 0

Reorder the terms:
(8 + 3x)(x + 2) = 0

Reorder the terms:
(8 + 3x)(2 + x) = 0

Multiply (8 + 3x) * (2 + x)
(8(2 + x) + 3x * (2 + x)) = 0
((2 * 8 + x * 8) + 3x * (2 + x)) = 0
((16 + 8x) + 3x * (2 + x)) = 0
(16 + 8x + (2 * 3x + x * 3x)) = 0
(16 + 8x + (6x + 3x2)) = 0

Combine like terms: 8x + 6x = 14x
(16 + 14x + 3x2) = 0

Solving
16 + 14x + 3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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 = {-2.666666667, -2}

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