2x^2+13x+2=-16

Solution for 2x^2+13x+2=-16 equation:

Simplifying
2x2 + 13x + 2 = -16

Reorder the terms:
2 + 13x + 2x2 = -16

Solving
2 + 13x + 2x2 = -16

Solving for variable 'x'.

Reorder the terms:
2 + 16 + 13x + 2x2 = -16 + 16

Combine like terms: 2 + 16 = 18
18 + 13x + 2x2 = -16 + 16

Combine like terms: -16 + 16 = 0
18 + 13x + 2x2 = 0

Factor a trinomial.
(9 + 2x)(2 + x) = 0

Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
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 = {-4.5, -2}