10d^2+17d-20=0

Solution for 10d^2+17d-20=0 equation:

Simplifying
10d2 + 17d + -20 = 0

Reorder the terms:
-20 + 17d + 10d2 = 0

Solving
-20 + 17d + 10d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-5 + -2d)(4 + -5d) = 0

Subproblem 1
Set the factor '(-5 + -2d)' equal to zero and attempt to solve:

Simplifying
-5 + -2d = 0

Solving
-5 + -2d = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2d = 0 + 5
-2d = 0 + 5

Combine like terms: 0 + 5 = 5
-2d = 5

Divide each side by '-2'.
d = -2.5

Simplifying
d = -2.5
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 = {-2.5, 0.8}