x^2+4x+9=6

Solution for x^2+4x+9=6 equation:

Simplifying
x2 + 4x + 9 = 6

Reorder the terms:
9 + 4x + x2 = 6

Solving
9 + 4x + x2 = 6

Solving for variable 'x'.

Reorder the terms:
9 + -6 + 4x + x2 = 6 + -6

Combine like terms: 9 + -6 = 3
3 + 4x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
3 + 4x + x2 = 0

Factor a trinomial.
(3 + x)(1 + x) = 0

Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
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 = {-3, -1}