8d^2+15d-2=0

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

Simplifying
8d2 + 15d + -2 = 0

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

Solving
-2 + 15d + 8d2 = 0

Solving for variable 'd'.

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

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 '(1 + -8d)' equal to zero and attempt to solve:

Simplifying
1 + -8d = 0

Solving
1 + -8d = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8d = 0 + -1
-8d = 0 + -1

Combine like terms: 0 + -1 = -1
-8d = -1

Divide each side by '-8'.
d = 0.125

Simplifying
d = 0.125
Solution
d = {-2, 0.125}