x^2+3x+18=-6x-2

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Solution for x^2+3x+18=-6x-2 equation: 


Simplifying
x2 + 3x + 18 = -6x + -2

Reorder the terms:
18 + 3x + x2 = -6x + -2

Reorder the terms:
18 + 3x + x2 = -2 + -6x

Solving
18 + 3x + x2 = -2 + -6x

Solving for variable 'x'.

Reorder the terms:
18 + 2 + 3x + 6x + x2 = -2 + -6x + 2 + 6x

Combine like terms: 18 + 2 = 20
20 + 3x + 6x + x2 = -2 + -6x + 2 + 6x

Combine like terms: 3x + 6x = 9x
20 + 9x + x2 = -2 + -6x + 2 + 6x

Reorder the terms:
20 + 9x + x2 = -2 + 2 + -6x + 6x

Combine like terms: -2 + 2 = 0
20 + 9x + x2 = 0 + -6x + 6x
20 + 9x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
20 + 9x + x2 = 0

Factor a trinomial.
(5 + x)(4 + x) = 0


Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-5, -4}

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