x^2+5x+30=-7x-2

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Solution for x^2+5x+30=-7x-2 equation: 


Simplifying
x2 + 5x + 30 = -7x + -2

Reorder the terms:
30 + 5x + x2 = -7x + -2

Reorder the terms:
30 + 5x + x2 = -2 + -7x

Solving
30 + 5x + x2 = -2 + -7x

Solving for variable 'x'.

Reorder the terms:
30 + 2 + 5x + 7x + x2 = -2 + -7x + 2 + 7x

Combine like terms: 30 + 2 = 32
32 + 5x + 7x + x2 = -2 + -7x + 2 + 7x

Combine like terms: 5x + 7x = 12x
32 + 12x + x2 = -2 + -7x + 2 + 7x

Reorder the terms:
32 + 12x + x2 = -2 + 2 + -7x + 7x

Combine like terms: -2 + 2 = 0
32 + 12x + x2 = 0 + -7x + 7x
32 + 12x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
32 + 12x + x2 = 0

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


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 '(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 = {-8, -4}

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