2d^2+13d+18=

Solution for 2d^2+13d+18= equation:

Simplifying
2d2 + 13d + 18 = 0

Reorder the terms:
18 + 13d + 2d2 = 0

Solving
18 + 13d + 2d2 = 0

Solving for variable 'd'.

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

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

Simplifying
9 + 2d = 0

Solving
9 + 2d = 0

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

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

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

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

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

Simplifying
d = -4.5
Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve:

Simplifying
2 + d = 0

Solving
2 + d = 0

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

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

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

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

Simplifying
d = -2
Solution
d = {-4.5, -2}