x*x+6x+9=-3x+1

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Solution for x*x+6x+9=-3x+1 equation:


Simplifying
x * x + 6x + 9 = -3x + 1

Multiply x * x
x2 + 6x + 9 = -3x + 1

Reorder the terms:
9 + 6x + x2 = -3x + 1

Reorder the terms:
9 + 6x + x2 = 1 + -3x

Solving
9 + 6x + x2 = 1 + -3x

Solving for variable 'x'.

Reorder the terms:
9 + -1 + 6x + 3x + x2 = 1 + -3x + -1 + 3x

Combine like terms: 9 + -1 = 8
8 + 6x + 3x + x2 = 1 + -3x + -1 + 3x

Combine like terms: 6x + 3x = 9x
8 + 9x + x2 = 1 + -3x + -1 + 3x

Reorder the terms:
8 + 9x + x2 = 1 + -1 + -3x + 3x

Combine like terms: 1 + -1 = 0
8 + 9x + x2 = 0 + -3x + 3x
8 + 9x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 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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