(3x+6)(x+2)=-17x-44

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Solution for (3x+6)(x+2)=-17x-44 equation: 


Simplifying
(3x + 6)(x + 2) = -17x + -44

Reorder the terms:
(6 + 3x)(x + 2) = -17x + -44

Reorder the terms:
(6 + 3x)(2 + x) = -17x + -44

Multiply (6 + 3x) * (2 + x)
(6(2 + x) + 3x * (2 + x)) = -17x + -44
((2 * 6 + x * 6) + 3x * (2 + x)) = -17x + -44
((12 + 6x) + 3x * (2 + x)) = -17x + -44
(12 + 6x + (2 * 3x + x * 3x)) = -17x + -44
(12 + 6x + (6x + 3x2)) = -17x + -44

Combine like terms: 6x + 6x = 12x
(12 + 12x + 3x2) = -17x + -44

Reorder the terms:
12 + 12x + 3x2 = -44 + -17x

Solving
12 + 12x + 3x2 = -44 + -17x

Solving for variable 'x'.

Reorder the terms:
12 + 44 + 12x + 17x + 3x2 = -44 + -17x + 44 + 17x

Combine like terms: 12 + 44 = 56
56 + 12x + 17x + 3x2 = -44 + -17x + 44 + 17x

Combine like terms: 12x + 17x = 29x
56 + 29x + 3x2 = -44 + -17x + 44 + 17x

Reorder the terms:
56 + 29x + 3x2 = -44 + 44 + -17x + 17x

Combine like terms: -44 + 44 = 0
56 + 29x + 3x2 = 0 + -17x + 17x
56 + 29x + 3x2 = -17x + 17x

Combine like terms: -17x + 17x = 0
56 + 29x + 3x2 = 0

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


Subproblem 1
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 2
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
Solution
x = {-7, -2.666666667}

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