8d^2+10d-3=

Solution for 8d^2+10d-3= equation:

Simplifying
8d2 + 10d + -3 = 0

Reorder the terms:
-3 + 10d + 8d2 = 0

Solving
-3 + 10d + 8d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-3 + -2d)(1 + -4d) = 0

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

Simplifying
-3 + -2d = 0

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

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

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

Divide each side by '-2'.
d = -1.5

Simplifying
d = -1.5
Subproblem 2
Set the factor '(1 + -4d)' equal to zero and attempt to solve:

Simplifying
1 + -4d = 0

Solving
1 + -4d = 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 + -4d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4d = 0 + -1
-4d = 0 + -1

Combine like terms: 0 + -1 = -1
-4d = -1

Divide each side by '-4'.
d = 0.25

Simplifying
d = 0.25
Solution
d = {-1.5, 0.25}