15d^2-8d-12=0

Solution for 15d^2-8d-12=0 equation:

Simplifying
15d2 + -8d + -12 = 0

Reorder the terms:
-12 + -8d + 15d2 = 0

Solving
-12 + -8d + 15d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-2 + -3d)(6 + -5d) = 0

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

Simplifying
-2 + -3d = 0

Solving
-2 + -3d = 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 + -3d = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3d = 0 + 2
-3d = 0 + 2

Combine like terms: 0 + 2 = 2
-3d = 2

Divide each side by '-3'.
d = -0.6666666667

Simplifying
d = -0.6666666667
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 = {-0.6666666667, 1.2}