x^2+9x+1=-7

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Solution for x^2+9x+1=-7 equation: 


Simplifying
x2 + 9x + 1 = -7

Reorder the terms:
1 + 9x + x2 = -7

Solving
1 + 9x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
1 + 7 + 9x + x2 = -7 + 7

Combine like terms: 1 + 7 = 8
8 + 9x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
8 + 9x + x2 = 0

Factor a trinomial.
(8 + x)(1 + 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-8, -1}

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