-15d^2-2d+8=0

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

Simplifying
-15d2 + -2d + 8 = 0

Reorder the terms:
8 + -2d + -15d2 = 0

Solving
8 + -2d + -15d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + -3d)(4 + 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 '(4 + 5d)' equal to zero and attempt to solve:

Simplifying
4 + 5d = 0

Solving
4 + 5d = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5d = 0 + -4
5d = 0 + -4

Combine like terms: 0 + -4 = -4
5d = -4

Divide each side by '5'.
d = -0.8

Simplifying
d = -0.8
Solution
d = {0.6666666667, -0.8}