24d^2+39d-18=0

Solution for 24d^2+39d-18=0 equation:

Simplifying
24d2 + 39d + -18 = 0

Reorder the terms:
-18 + 39d + 24d2 = 0

Solving
-18 + 39d + 24d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 13d + 8d2) = 0

Factor a trinomial.
3((-2 + -1d)(3 + -8d)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -1d)' equal to zero and attempt to solve:

Simplifying
-2 + -1d = 0

Solving
-2 + -1d = 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 + -1d = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1d = 0 + 2
-1d = 0 + 2

Combine like terms: 0 + 2 = 2
-1d = 2

Divide each side by '-1'.
d = -2

Simplifying
d = -2
Subproblem 2
Set the factor '(3 + -8d)' equal to zero and attempt to solve:

Simplifying
3 + -8d = 0

Solving
3 + -8d = 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 + -8d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8d = 0 + -3
-8d = 0 + -3

Combine like terms: 0 + -3 = -3
-8d = -3

Divide each side by '-8'.
d = 0.375

Simplifying
d = 0.375
Solution
d = {-2, 0.375}