5d^2+9d-18=0

Solution for 5d^2+9d-18=0 equation:

Simplifying
5d2 + 9d + -18 = 0

Reorder the terms:
-18 + 9d + 5d2 = 0

Solving
-18 + 9d + 5d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-3 + -1d)(6 + -5d) = 0

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

Simplifying
-3 + -1d = 0

Solving
-3 + -1d = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1d = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1d = 0 + 3
-1d = 0 + 3

Combine like terms: 0 + 3 = 3
-1d = 3

Divide each side by '-1'.
d = -3

Simplifying
d = -3
Subproblem 2
Set the factor '(6 + -5d)' equal to zero and attempt to solve:

Simplifying
6 + -5d = 0

Solving
6 + -5d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5d = 0 + -6
-5d = 0 + -6

Combine like terms: 0 + -6 = -6
-5d = -6

Divide each side by '-5'.
d = 1.2

Simplifying
d = 1.2
Solution
d = {-3, 1.2}