x^2+9x-2=-16

Solution for x^2+9x-2=-16 equation:

Simplifying
x2 + 9x + -2 = -16

Reorder the terms:
-2 + 9x + x2 = -16

Solving
-2 + 9x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
-2 + 16 + 9x + x2 = -16 + 16

Combine like terms: -2 + 16 = 14
14 + 9x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
14 + 9x + x2 = 0

Factor a trinomial.
(7 + x)(2 + x) = 0

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-7, -2}